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

Time bar (total: 7.4s)

analyze143.0ms (1.9%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
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: 62.0ms
...c/correct-round.rkt:119:19: 20.0ms (32.2% of total)
ival-mult: 14.0ms (22.5% of total)
ival-exp: 10.0ms (16.1% of total)
ival-sub: 7.0ms (11.3% of total)
ival-add: 5.0ms (8% of total)
ival-div: 4.0ms (6.4% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (17.7%)

Results
954.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 639.0ms
...c/correct-round.rkt:119:19: 178.0ms (27.9% of total)
ival-mult: 149.0ms (23.3% of total)
ival-exp: 123.0ms (19.3% of total)
ival-add: 65.0ms (10.2% of total)
ival-div: 61.0ms (9.5% of total)
ival-sub: 52.0ms (8.1% of total)
const: 8.0ms (1.3% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess121.0ms (1.6%)

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))))

explain186.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
290-0-(/.f64 y (-.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-(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
00-0-#s(literal 5641895835477563/5000000000000000 binary64)
00-0-(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
133.0ms512×0valid
Compiler

Compiled 109 to 32 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
...c/correct-round.rkt:119:19: 58.0ms (67.8% of total)
ival-div: 10.0ms (11.7% of total)
ival-mult: 8.0ms (9.4% of total)
ival-exp: 4.0ms (4.7% of total)
ival-sub: 3.0ms (3.5% of total)
ival-add: 3.0ms (3.5% of total)
const: 1.0ms (1.2% 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
▶98.0%
(+.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)

simplify56.0ms (0.8%)

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)

localize57.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 z)
✓accuracy100.0%
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓accuracy100.0%
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
✓accuracy89.2%
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Results
45.0ms256×0valid
Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
...c/correct-round.rkt:119:19: 7.0ms (36.8% of total)
ival-mult: 4.0ms (21% of total)
ival-exp: 3.0ms (15.8% of total)
ival-div: 2.0ms (10.5% 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)

series15.0ms (0.2%)

Counts
5 → 132
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))>
#<alt (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))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)>
#<alt (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)>
#<alt (/ (- (* -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)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))>
#<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))>
#<alt (- 5641895835477563/5000000000000000 (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 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))>
#<alt (* 5641895835477563/5000000000000000 (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)>
Calls

33 calls:

TimeVariablePointExpression
3.0ms
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
z
@-inf
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms
x
@0
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))

rewrite342.0ms (4.6%)

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
01033
15933
251533
3696033
0855133
Stop Event
1×iter limit
1×node limit
Counts
5 → 271
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))
(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 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))))) (+.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 (*.f64 x 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 y (*.f64 x (*.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 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x))))))
(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 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x)))))
(neg.f64 (/.f64 (+.f64 (neg.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 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x))))
(/.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 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x)))))
(/.f64 (+.f64 (neg.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)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.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 9 binary64))) (*.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x))) (+.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.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 (*.f64 x x) (*.f64 (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x))) (-.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 (*.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 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x))))))
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(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(exp.f64 z)

simplify303.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
4124×*-lowering-*.f32
4124×*-lowering-*.f64
2994×+-lowering-+.f64
2994×+-lowering-+.f32
2190×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03161863
19911742
231131636
087481636
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
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))))))
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x
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x
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x
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(* -1 (* x y))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -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))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(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 z #s(literal 2 binary64)))) (/.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 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) x) (exp.f64 (+.f64 z (*.f64 z #s(literal 2 binary64)))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (*.f64 z #s(literal 2 binary64)))))))
(+ (* 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 x (+.f64 #s(literal 1 binary64) (*.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 z #s(literal 2 binary64))))))))) (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 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 (/.f64 (*.f64 (exp.f64 (*.f64 z #s(literal 2 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (+.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 (* 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 z #s(literal 2 binary64))) #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 z #s(literal 2 binary64)))) (/.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 z #s(literal 2 binary64))))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (*.f64 z #s(literal 2 binary64)))))))))
(- 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 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)) 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 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) (/.f64 (*.f64 (exp.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x)))) 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 x (+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 z (*.f64 z #s(literal 2 binary64)))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) (/.f64 (*.f64 (exp.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x)))) 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 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)) 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 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) (/.f64 (*.f64 (exp.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x)))) 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 x (-.f64 (/.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 z #s(literal 2 binary64)))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (*.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (*.f64 z #s(literal 2 binary64))) 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 x (+.f64 (/.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 y (*.f64 (-.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 y (*.f64 (-.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 y (*.f64 (-.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 y (*.f64 (-.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 z #s(literal 2 binary64)))) (/.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 z #s(literal 2 binary64))))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (*.f64 z #s(literal 2 binary64))))))))
(* 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 z #s(literal 2 binary64))))))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (*.f64 z #s(literal 2 binary64))))))))
(/ -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 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) 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)))
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(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(*.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(+.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)))))))
(* 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))
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 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)))))))
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)

eval76.0ms (1%)

Compiler

Compiled 13047 to 1277 computations (90.2% saved)

prune53.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3976403
Fresh000
Picked101
Done000
Total3986404
Accuracy
100.0%
Counts
404 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 y (*.f64 x (*.f64 x y))))))
▶82.9%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶98.1%
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))
▶63.8%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
▶17.6%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
▶70.1%
x
Compiler

Compiled 160 to 106 computations (33.8% saved)

simplify163.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 13 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 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 #s(literal -1 binary64) x)
✓cost-diff0
(+.f64 x (/.f64 #s(literal -1 binary64) 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
1938×*-lowering-*.f32
1938×*-lowering-*.f64
1938×fnmadd-define
1528×sum4-define
1180×fmsub-define
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
021113
140109
265106
3121106
4232100
5423100
6859100
7283599
8768399
0832199
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 (/ -1 x))
x
(/ -1 x)
-1
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
x
(/ y (- 5641895835477563/5000000000000000 (* y x)))
y
(- 5641895835477563/5000000000000000 (* y x))
5641895835477563/5000000000000000
(* y x)
(* 5000000000000000/5641895835477563 (/ y (exp z)))
5000000000000000/5641895835477563
(/ y (exp z))
y
(exp z)
z
Outputs
(+ x (/ y (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))))
(-.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
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 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y)
(/ (* (exp z) 5641895835477563/5000000000000000) x)
(*.f64 (exp.f64 z) (/.f64 #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 (/ -1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 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)
(* 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

localize142.0ms (1.9%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 z)
✓accuracy100.0%
(/.f64 y (exp.f64 z))
✓accuracy99.6%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
✓accuracy100.0%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
✓accuracy92.5%
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
✓accuracy100.0%
(-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)
✓accuracy99.9%
(*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))
✓accuracy99.8%
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
✓accuracy94.0%
(/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))
Results
83.0ms208×0valid
14.0ms48×0unsamplable
Compiler

Compiled 117 to 22 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 9.0ms (24.6% of total)
...c/correct-round.rkt:119:19: 9.0ms (24.6% of total)
ival-mult: 7.0ms (19.1% of total)
ival-add: 6.0ms (16.4% of total)
ival-sub: 3.0ms (8.2% of total)
ival-exp: 2.0ms (5.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series44.0ms (0.6%)

Counts
14 → 348
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 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))>
#<alt (/ y (- 5641895835477563/5000000000000000 (* y x)))>
#<alt (- 5641895835477563/5000000000000000 (* y x))>
#<alt (* y x)>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (/ y (exp z))>
#<alt (exp z)>
#<alt (/ (* (exp z) 5641895835477563/5000000000000000) x)>
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 (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))))>
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))) (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))))>
#<alt (+ 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)))))>
#<alt (+ 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)))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))>
#<alt (+ x (/ y (* x (- (* 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 (* 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 (* 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 (/ 5641895835477563/5000000000000000 x)>
#<alt (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z x)) (* 5641895835477563/10000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) x))>
Calls

87 calls:

TimeVariablePointExpression
16.0ms
z
@inf
(* 5000000000000000/5641895835477563 (/ y (exp z)))
3.0ms
x
@0
(/ -1 x)
1.0ms
x
@0
(+ x (/ y (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))))
1.0ms
z
@inf
(+ x (/ y (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))))
1.0ms
z
@-inf
(+ x (/ y (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))))

rewrite410.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
4686×/-lowering-/.f32
4686×/-lowering-/.f64
3472×*-lowering-*.f32
3472×*-lowering-*.f64
1900×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02194
113090
2121787
0834587
Stop Event
1×iter limit
1×node limit
Counts
14 → 333
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 (/ -1 x))
(/ -1 x)
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
(/ y (- 5641895835477563/5000000000000000 (* y x)))
(- 5641895835477563/5000000000000000 (* y x))
(* y x)
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(/ y (exp z))
(exp z)
(/ (* (exp z) 5641895835477563/5000000000000000) x)
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 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)) (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)) (-.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) x)))
(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)
(fma.f64 (/.f64 (/.f64 y x) (-.f64 (*.f64 (exp.f64 (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (exp.f64 (+.f64 z z)) (*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) (*.f64 y (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)))) x)
(fma.f64 (/.f64 (/.f64 y x) (-.f64 (*.f64 (exp.f64 (+.f64 z z)) (*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))) (*.f64 y y))) (+.f64 y (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) x) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) x) (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64))) (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) x) (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)))) (neg.f64 (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) x))
(/.f64 (-.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 (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))) (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)))) (*.f64 (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))) (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) x) (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)) (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))) #s(literal 3 binary64))) (+.f64 (*.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 (*.f64 x x) (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))))) (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)) (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))) (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)) (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))))) (*.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 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64)) (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) x) (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))
(/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) (/.f64 y x)))
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simplify404.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
3460×*-lowering-*.f32
3460×*-lowering-*.f64
2088×+-lowering-+.f64
2088×+-lowering-+.f32
1602×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05393743
117503491
257233436
080363436
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
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)))
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(+ (* 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))
(* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(* x (- (* 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))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp 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))))))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp 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)))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
(/ y (exp z))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(/ 5641895835477563/5000000000000000 x)
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z x)) (* 5641895835477563/10000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
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 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (exp.f64 (+.f64 z 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 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 x (*.f64 y y)))) (exp.f64 (+.f64 z (+.f64 z z)))) (/.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 (*.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 z z)))))) (+.f64 #s(literal 1 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 (/.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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (+.f64 z z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y (*.f64 x (*.f64 x x)))))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(* -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 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 z z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 x (*.f64 y y))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) (*.f64 x (*.f64 x x))))) (-.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 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (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 y (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x x))) (exp.f64 (+.f64 z (+.f64 z z)))) (/.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 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) 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 (+.f64 (*.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y y))) #s(literal -1 binary64)) x) (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y (*.f64 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 x (-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 z (+.f64 z z))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (*.f64 (*.f64 y y) (*.f64 y (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 (exp.f64 (+.f64 z z)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y (*.f64 x (*.f64 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 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) 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 (-.f64 x (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) y)) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x)) x)) y)) (/.f64 #s(literal -1 binary64) 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 (-.f64 (/.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) x) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) y) (/.f64 (exp.f64 (+.f64 z (+.f64 z z))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (exp.f64 (+.f64 z z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 x (*.f64 x x)))) y)) y)) (/.f64 #s(literal -1 binary64) x))
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))) (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))))
(+.f64 (+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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)))))
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(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (*.f64 z (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (*.f64 (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (+.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(+ (* 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))))))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (*.f64 z (+.f64 (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/3 binary64))))) z)))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
y
(+ y (* -1 (* y z)))
(-.f64 y (*.f64 y z))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(+.f64 y (*.f64 z (-.f64 (*.f64 z (*.f64 y #s(literal 1/2 binary64))) y)))
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
(+.f64 y (*.f64 z (-.f64 (*.f64 z (+.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/3 binary64))))))) y)))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
(/ y (exp z))
(/.f64 y (exp.f64 z))
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 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)))))))
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (*.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (*.f64 z (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) x))))
(+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z x)) (* 5641895835477563/10000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (*.f64 z (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z x)) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) x))))))
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* 5641895835477563/5000000000000000 (/ (exp z) x))
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)

eval142.0ms (1.9%)

Compiler

Compiled 13905 to 1724 computations (87.6% saved)

prune74.0ms (1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New6895694
Fresh101
Picked235
Done000
Total6928700
Accuracy
100.0%
Counts
700 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶16.8%
(/.f64 #s(literal -1 binary64) x)
✓82.9%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶82.9%
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
▶63.9%
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓63.8%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
▶68.7%
(+.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
▶17.5%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓70.1%
x
Compiler

Compiled 136 to 93 computations (31.6% saved)

simplify155.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y))))
✓cost-diff0
(/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y)))))
✓cost-diff0
(*.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
✓cost-diff0
(+.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
✓cost-diff0
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓cost-diff0
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) x)
✓cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓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
2128×sum4-define
1932×fnmsub-define
1254×*-lowering-*.f32
1254×*-lowering-*.f64
1136×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023139
152120
2140119
3301119
4443110
5678110
61057110
72091110
85573110
08078110
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
(* 5000000000000000/5641895835477563 y)
5000000000000000/5641895835477563
y
(/ -1 x)
-1
x
(+ x (/ y 5641895835477563/5000000000000000))
x
(/ y 5641895835477563/5000000000000000)
y
5641895835477563/5000000000000000
(+ x (* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))) (+ 5641895835477563/5000000000000000 (* x y))))
x
(* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))) (+ 5641895835477563/5000000000000000 (* x y)))
(/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y)))))
y
(- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))
31830988618379068626528276418969/25000000000000000000000000000000
(* x (* y (* x y)))
(* y (* x y))
(* x y)
(+ 5641895835477563/5000000000000000 (* x y))
5641895835477563/5000000000000000
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)
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(+ x (/ y 5641895835477563/5000000000000000))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
x
(/ y 5641895835477563/5000000000000000)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
y
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ x (* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))) (+ 5641895835477563/5000000000000000 (* x y))))
(+.f64 x (/.f64 (*.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x y))))))
x
(* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))) (+ 5641895835477563/5000000000000000 (* x y)))
(/.f64 (*.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))
(/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y)))))
(/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))
y
(- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))
(-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x y))))
31830988618379068626528276418969/25000000000000000000000000000000
#s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)
(* x (* y (* x y)))
(*.f64 y (*.f64 x (*.f64 x y)))
(* y (* x y))
(*.f64 x (*.f64 y y))
(* x y)
(*.f64 x y)
(+ 5641895835477563/5000000000000000 (* x y))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)

localize185.0ms (2.5%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 y (*.f64 x y))
✓accuracy95.3%
(/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y)))))
✓accuracy94.9%
(*.f64 x (*.f64 y (*.f64 x y)))
✓accuracy77.1%
(*.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
✓accuracy100.0%
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓accuracy99.7%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
✓accuracy99.3%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)
✓accuracy99.9%
(*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
✓accuracy99.6%
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
✓accuracy89.4%
(/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
Results
123.0ms256×0valid
Compiler

Compiled 143 to 25 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
...c/correct-round.rkt:119:19: 19.0ms (38% of total)
ival-mult: 13.0ms (26% of total)
ival-div: 9.0ms (18% of total)
ival-add: 5.0ms (10% of total)
ival-sub: 3.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.4%)

Counts
15 → 312
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 (* 5000000000000000/5641895835477563 y)>
#<alt (/ -1 x)>
#<alt (+ x (/ y 5641895835477563/5000000000000000))>
#<alt (/ y 5641895835477563/5000000000000000)>
#<alt (+ x (* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))) (+ 5641895835477563/5000000000000000 (* x y))))>
#<alt (* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))) (+ 5641895835477563/5000000000000000 (* x y)))>
#<alt (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y)))))>
#<alt (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (* x (* y (* x y)))>
#<alt (* y (* x y))>
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)>
#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))>
#<alt (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3))))) (pow x 2))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (+ 5641895835477563/5000000000000000 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) x)>
#<alt (* -1 y)>
#<alt (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)>
#<alt (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)>
#<alt (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)>
#<alt (* -1 y)>
#<alt (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)>
#<alt (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)>
#<alt (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (* -1 y)>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ 1 (* x y))) 1))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ 1 (* x y))) 1))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ 1 (* x y))) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y))))))>
#<alt (* -1 (* y (- 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y))))))>
#<alt (* -1 (* y (- 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y))))))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt x>
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))>
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))>
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))>
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))))>
#<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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2))))))))>
#<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)>
#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))>
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#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 y)>
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#<alt (/ 5641895835477563/5000000000000000 x)>
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#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
Calls

78 calls:

TimeVariablePointExpression
5.0ms
x
@0
(- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))
2.0ms
x
@inf
(* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))) (+ 5641895835477563/5000000000000000 (* x y)))
1.0ms
x
@0
(/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y)))))
1.0ms
y
@0
(/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y)))))
1.0ms
x
@inf
(/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y)))))

rewrite448.0ms (6.1%)

Algorithm
1×batch-egg-rewrite
Rules
3914×/-lowering-/.f32
3914×/-lowering-/.f64
3726×*-lowering-*.f32
3726×*-lowering-*.f64
2000×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023117
115497
2149597
0864297
Stop Event
1×iter limit
1×node limit
Counts
15 → 480
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)
(* 5000000000000000/5641895835477563 y)
(/ -1 x)
(+ x (/ y 5641895835477563/5000000000000000))
(/ y 5641895835477563/5000000000000000)
(+ x (* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))) (+ 5641895835477563/5000000000000000 (* x y))))
(* (/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))) (+ 5641895835477563/5000000000000000 (* x y)))
(/ y (- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y)))))
(- 31830988618379068626528276418969/25000000000000000000000000000000 (* x (* y (* x y))))
(/ 5641895835477563/5000000000000000 x)
(* x (* y (* x y)))
(* y (* x y))
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 (-.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 #s(literal 1 binary64) (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) 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) (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 (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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 #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 (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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 (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (-.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 (*.f64 x x) (/.f64 (*.f64 x (/.f64 y x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))))
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(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(literal 5641895835477563/5000000000000000 binary64)))))
(pow.f64 (/.f64 x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5641895835477563/5000000000000000 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 y y)))
(*.f64 y (*.f64 x (*.f64 x y)))
(*.f64 y (*.f64 (*.f64 x y) x))
(*.f64 (*.f64 x y) (*.f64 x y))
(*.f64 (*.f64 x (*.f64 y y)) x)
(*.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x y)) y)
(*.f64 (*.f64 (*.f64 x y) x) y)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) x)

simplify333.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
5534×*-lowering-*.f32
5534×*-lowering-*.f64
2224×+-lowering-+.f64
2224×+-lowering-+.f32
2034×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03752935
111502553
230902442
083492442
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
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)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 5000000000000000/5641895835477563 y)
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
x
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
x
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* 5000000000000000/5641895835477563 y))
(* 5000000000000000/5641895835477563 y)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
(* 5000000000000000/5641895835477563 y)
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))
(* 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)
(+ (* 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))))
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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2))))))))
(/ -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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))))))
(/ -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))
(* 25000000000000000000000000000000/31830988618379068626528276418969 y)
(* y (+ 25000000000000000000000000000000/31830988618379068626528276418969 (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) (pow y 2)))))
(* y (+ 25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) (- (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (pow x 4) (pow y 2))) (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (pow x 2))))))
(* y (+ 25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) (- (* (pow y 2) (- (* 390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/1026598225468433708909264245078540230501350846654705118870865146403465894875765964765931094270341040497335390041525045533207521 (* (pow x 6) (pow y 2))) (* -15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (pow x 4)))) (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (pow x 2))))))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2))) y))
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 4))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (/ 1 (pow x 2))) y)
(/ (- (* -1 (/ (+ (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow x 6))) (* 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (/ 1 (pow x 2)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2))) y))
(* -1 (/ (+ (/ 1 (pow x 2)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 4) (pow y 2))) (/ 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (* (pow x 6) (pow y 4))))) y))
(* -1 (/ (+ (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 8) (pow y 6)))) (+ (/ 1 (pow x 2)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 4) (pow y 2)))))) y))
(* 25000000000000000000000000000000/31830988618379068626528276418969 y)
(+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 y))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* (pow x 2) (- (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (pow x 2) (pow y 5))) (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (pow y 3)))))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* (pow x 2) (- (* (pow x 2) (- (* 390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/1026598225468433708909264245078540230501350846654705118870865146403465894875765964765931094270341040497335390041525045533207521 (* (pow x 2) (pow y 7))) (* -15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (pow y 5)))) (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (pow y 3)))))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 3))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (/ 1 y)) (pow x 2))
(/ (- (* -1 (/ (+ (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow y 5))) (* 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (/ 1 y) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 3))))) (pow x 2))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 3))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (/ 1 y)) (pow x 2))
(/ (- (* -1 (/ (+ (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow y 5))) (* 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (/ 1 y) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 3))))) (pow x 2))
31830988618379068626528276418969/25000000000000000000000000000000
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))
31830988618379068626528276418969/25000000000000000000000000000000
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))
(/ 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)
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
Outputs
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(+ (* 5000000000000000/5641895835477563 y) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (*.f64 x #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 y y) (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y x)) #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 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)))) (*.f64 (*.f64 y y) (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y x)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) x)) x)))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) x)) (*.f64 x x)) x))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))))
(* -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 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) y) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 x (/.f64 #s(literal -1 binary64) x)))
x
(+ x (* 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
(+ x (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y x)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x))))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) x)) y))
(- (+ 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))))
(+.f64 (+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x))))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) x)) y))
(- (+ 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))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) x)) (/.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x (*.f64 x x))))) y)) y))
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
(* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (*.f64 x (*.f64 (*.f64 y y) (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y x)) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
(* y (+ 5000000000000000/5641895835477563 (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x x)))) (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x))))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) x)) y) (/.f64 #s(literal -1 binary64) 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))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x x))))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) x)) y) (/.f64 #s(literal -1 binary64) 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))
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) x)) (/.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x (*.f64 x x))))) y)) y) (/.f64 #s(literal -1 binary64) x))
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
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(+.f64 (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)))))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* (pow x 2) (- (* (pow x 2) (- (* 390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/1026598225468433708909264245078540230501350846654705118870865146403465894875765964765931094270341040497335390041525045533207521 (* (pow x 2) (pow y 7))) (* -15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (pow y 5)))) (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (pow y 3)))))
(+.f64 (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 (*.f64 x (pow.f64 y #s(literal 7 binary64))) #s(literal 390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/1026598225468433708909264245078540230501350846654705118870865146403465894875765964765931094270341040497335390041525045533207521 binary64))) (*.f64 #s(literal 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)))))
(/ -1 (* (pow x 2) y))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x x)))
(* -1 (/ (+ (/ 1 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 3))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (/ 1 y)) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal -1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x))
(/ (- (* -1 (/ (+ (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow y 5))) (* 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (/ 1 y) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 3))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 7 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 x x)))) (*.f64 x x))
(/ -1 (* (pow x 2) y))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x x)))
(* -1 (/ (+ (/ 1 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 3))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (/ 1 y)) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal -1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x))
(/ (- (* -1 (/ (+ (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow y 5))) (* 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (/ 1 y) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 3))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 7 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 x x)))) (*.f64 x x))
31830988618379068626528276418969/25000000000000000000000000000000
#s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))
(-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x))))
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))
(-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x))))
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))
(-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x x))))
(* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y y)))
(* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y y)))
(* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y y)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x x))))
(* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y y)))
(* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y y)))
(* (pow x 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))) (pow y 2)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y y)))
31830988618379068626528276418969/25000000000000000000000000000000
#s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))
(-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x))))
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))
(-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x))))
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -1 (* (pow x 2) (pow y 2))))
(-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x x))))
(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) y) (*.f64 x x)))
(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) y) (*.f64 x x)))
(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) y) (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x x))))
(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) y) (*.f64 x x)))
(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) y) (*.f64 x x)))
(* (pow y 2) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) y) (*.f64 x 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)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(*.f64 y (*.f64 y (*.f64 x x)))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))

eval139.0ms (1.9%)

Compiler

Compiled 20676 to 2010 computations (90.3% saved)

prune108.0ms (1.5%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New7911792
Fresh000
Picked055
Done033
Total7919800
Accuracy
100.0%
Counts
800 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶17.6%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓16.8%
(/.f64 #s(literal -1 binary64) x)
✓82.9%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓82.9%
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
✓63.9%
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓63.8%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
✓68.7%
(+.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
✓17.5%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓70.1%
x
Compiler

Compiled 86 to 60 computations (30.2% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
Rules
2×/-lowering-/.f32
2×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
035
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ y 5641895835477563/5000000000000000)
y
5641895835477563/5000000000000000
Outputs
(/ y 5641895835477563/5000000000000000)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
y
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)

localize28.0ms (0.4%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
Results
23.0ms256×0valid
Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
...c/correct-round.rkt:119:19: 8.0ms (79.4% of total)
ival-div: 2.0ms (19.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series0.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (/ y 5641895835477563/5000000000000000)>
Outputs
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* 5000000000000000/5641895835477563 y)>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/ y 5641895835477563/5000000000000000)
0.0ms
y
@inf
(/ y 5641895835477563/5000000000000000)
0.0ms
y
@-inf
(/ y 5641895835477563/5000000000000000)

rewrite186.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
2328×*-lowering-*.f32
2328×*-lowering-*.f64
1932×/-lowering-/.f32
1932×/-lowering-/.f64
1460×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1133
2393
31453
46583
564893
080313
Stop Event
1×iter limit
1×node limit
Counts
1 → 236
Calls
Call 1
Inputs
(/ y 5641895835477563/5000000000000000)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 0 binary64))
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simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0336
1436
0436
Stop Event
1×iter limit
1×saturated
Counts
12 → 12
Calls
Call 1
Inputs
(* 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)
Outputs
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)

eval25.0ms (0.3%)

Compiler

Compiled 2817 to 452 computations (84% saved)

prune38.0ms (0.5%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New2480248
Fresh000
Picked011
Done088
Total2489257
Accuracy
100.0%
Counts
257 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓17.6%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓16.8%
(/.f64 #s(literal -1 binary64) x)
✓82.9%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓82.9%
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
✓63.9%
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
✓63.8%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
✓68.7%
(+.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
✓17.5%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓70.1%
x
Compiler

Compiled 207 to 112 computations (45.9% saved)

regimes41.0ms (0.6%)

Counts
13 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.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 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 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 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.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 (*.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 y (*.f64 x (*.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:

18.0ms
y
5.0ms
x
5.0ms
z
5.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
99.9%2z
98.1%1(+.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)

regimes12.0ms (0.2%)

Counts
11 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.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 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 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 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.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:

4.0ms
z
3.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
3.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.9%2z
99.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes20.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.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 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 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 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
x
Calls

4 calls:

7.0ms
(exp.f64 z)
4.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
82.9%1x
82.9%1y
99.9%3z
99.9%3(exp.f64 z)
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes4.0ms (0%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.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 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
x
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
99.9%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts
6 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
x
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
90.2%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.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:

3.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
76.4%3y
74.5%3x
80.6%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
x
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
x
Calls

3 calls:

2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
74.5%3x
70.1%1y
70.1%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
74.5%3x
Compiler

Compiled 4 to 3 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
70.1%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
5.2187447541611584e-145
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch32.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
30.0ms
0.0
5.2187447541611584e-145
Results
22.0ms224×0valid
Compiler

Compiled 357 to 253 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
...c/correct-round.rkt:119:19: 5.0ms (38.6% of total)
ival-mult: 4.0ms (30.9% of total)
ival-div: 2.0ms (15.5% of total)
ival-sub: 1.0ms (7.7% of total)
ival-add: 1.0ms (7.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.0000000000000522
1.0000000002240144
27.0ms
5.2187447541611584e-145
3.6490426991908087e-6
Results
20.0ms208×0valid
Compiler

Compiled 333 to 236 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (35.4% of total)
...c/correct-round.rkt:119:19: 3.0ms (26.6% of total)
ival-div: 2.0ms (17.7% of total)
ival-sub: 1.0ms (8.9% of total)
ival-add: 1.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch71.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
5.221845623270916e-14
2.240143494671107e-10
41.0ms
-332.2225815797108
-12.521045698964064
Results
60.0ms240×0valid
Compiler

Compiled 319 to 231 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
...c/correct-round.rkt:119:19: 30.0ms (59.4% of total)
ival-mult: 14.0ms (27.7% of total)
ival-div: 2.0ms (4% of total)
ival-exp: 2.0ms (4% of total)
ival-sub: 1.0ms (2% of total)
ival-add: 1.0ms (2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
8.848090181883725e-36
5.45393698021914e-35
24.0ms
-332.2225815797108
-12.521045698964064
Results
44.0ms208×0valid
Compiler

Compiled 231 to 179 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
...c/correct-round.rkt:119:19: 17.0ms (47.9% of total)
ival-mult: 12.0ms (33.8% of total)
ival-div: 2.0ms (5.6% of total)
ival-exp: 2.0ms (5.6% of total)
ival-sub: 1.0ms (2.8% of total)
ival-add: 1.0ms (2.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-332.2225815797108
-12.521045698964064
Results
13.0ms112×0valid
Compiler

Compiled 119 to 92 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
...c/correct-round.rkt:119:19: 3.0ms (34.1% of total)
ival-mult: 2.0ms (22.7% of total)
ival-sub: 1.0ms (11.4% of total)
ival-div: 1.0ms (11.4% of total)
ival-exp: 1.0ms (11.4% of total)
ival-add: 1.0ms (11.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
4.780001507493694e-148
8.80574115383274e-147
20.0ms
-1.0486305324454704e-268
-7.444645075732541e-276
Results
28.0ms256×0valid
Compiler

Compiled 213 to 175 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.9% of total)
...c/correct-round.rkt:119:19: 4.0ms (22.2% of total)
ival-div: 2.0ms (11.1% of total)
ival-exp: 2.0ms (11.1% of total)
ival-sub: 1.0ms (5.6% of total)
ival-add: 1.0ms (5.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
4.780001507493694e-148
8.80574115383274e-147
24.0ms
-1.0486305324454704e-268
-7.444645075732541e-276
Results
30.0ms256×0valid
Compiler

Compiled 213 to 175 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
...c/correct-round.rkt:119:19: 10.0ms (49.4% of total)
ival-mult: 4.0ms (19.8% of total)
ival-div: 2.0ms (9.9% of total)
ival-exp: 2.0ms (9.9% of total)
ival-sub: 1.0ms (4.9% of total)
ival-add: 1.0ms (4.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
26×+-commutative_binary64
16×*-commutative_binary64
14×sub-neg_binary64
8×cancel-sign-sub-inv_binary64
6×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069152
199152
2113152
3119152
4122152
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 8274421301242841/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 281474976766951/281474976710656 binary64)) (+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))) x))
(if (<=.f64 z #s(literal -310 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 8510837770086989/38685626227668133590597632 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) x))
(if (<=.f64 z #s(literal -45/2 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 315684353663475/5846006549323611672814739330865132078623730171904 binary64)) (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) x))
(if (<=.f64 z #s(literal -100 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) x)
(if (<=.f64 x #s(literal -3420138889498901/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 binary64)) x (if (<=.f64 x #s(literal 8637914485522937/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) x))
(if (<=.f64 x #s(literal -966560990510559/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) x (if (<=.f64 x #s(literal 229444603521703/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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 8274421301242841/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 281474976766951/281474976710656 binary64)) (+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))) x))
(if (<=.f64 z #s(literal -310 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 8510837770086989/38685626227668133590597632 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) x))
(if (<=.f64 z #s(literal -310 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 8510837770086989/38685626227668133590597632 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x))
(if (<=.f64 z #s(literal -45/2 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 315684353663475/5846006549323611672814739330865132078623730171904 binary64)) (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) x))
(if (<=.f64 z #s(literal -100 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) x)
(if (<=.f64 x #s(literal -3420138889498901/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 binary64)) x (if (<=.f64 x #s(literal 8637914485522937/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) x))
(if (<=.f64 x #s(literal -966560990510559/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) x (if (<=.f64 x #s(literal 229444603521703/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
(if (<=.f64 x #s(literal -966560990510559/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) x (if (<=.f64 x #s(literal 229444603521703/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x))
x

soundness1.2s (15.7%)

Rules
4124×*-lowering-*.f32
4124×*-lowering-*.f64
3914×/-lowering-/.f32
3914×/-lowering-/.f64
3726×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03161863
19911742
231131636
087481636
023117
115497
2149597
0864297
05393743
117503491
257233436
080363436
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 353 to 208 computations (41.1% saved)

preprocess108.0ms (1.5%)

Compiler

Compiled 370 to 176 computations (52.4% saved)

end0.0ms (0%)

Profiling

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