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

Time bar (total: 10.0s)

analyze405.0ms (4.1%)

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: 93.0ms
ival-mult: 33.0ms (35.3% of total)
ival-exp: 26.0ms (27.9% of total)
...c/correct-round.rkt:119:19: 18.0ms (19.3% of total)
ival-sub: 6.0ms (6.4% of total)
ival-add: 5.0ms (5.4% of total)
ival-div: 4.0ms (4.3% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (14.4%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 661.0ms
...c/correct-round.rkt:119:19: 187.0ms (28.3% of total)
ival-mult: 130.0ms (19.7% of total)
ival-div: 116.0ms (17.6% of total)
ival-exp: 90.0ms (13.6% of total)
ival-sub: 71.0ms (10.7% of total)
ival-add: 56.0ms (8.5% of total)
const: 9.0ms (1.4% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess124.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

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

explain131.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
300-1(-1.0710109899762246e-104 3.412471827739265e-213 -4.822114785779685e+72)(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
30-0-(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
00-0-(exp.f64 z)
00-0-x
00-0-y
00-0-(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
00-0-(*.f64 x y)
00-0-z
00-0-#s(literal 5641895835477563/5000000000000000 binary64)
00-0-(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
85.0ms512×0valid
Compiler

Compiled 109 to 32 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-sub: 10.0ms (25.7% of total)
...c/correct-round.rkt:119:19: 9.0ms (23.2% of total)
ival-mult: 8.0ms (20.6% of total)
ival-div: 4.0ms (10.3% of total)
ival-exp: 4.0ms (10.3% of total)
ival-add: 3.0ms (7.7% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.5%
(+.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)

simplify81.0ms (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)

localize84.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
✓accuracy100.0%
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓accuracy99.1%
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
✓accuracy89.0%
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Results
72.0ms256×0valid
Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 25.0ms (68.9% of total)
...c/correct-round.rkt:119:19: 4.0ms (11% of total)
ival-div: 2.0ms (5.5% of total)
ival-exp: 2.0ms (5.5% 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)

series13.0ms (0.1%)

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

30 calls:

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

rewrite380.0ms (3.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
15931
251531
3696031
0855131
Stop Event
1×iter limit
1×node limit
Counts
4 → 270
Calls
Call 1
Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))))
(-.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) y x)
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 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))

simplify367.0ms (3.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03031821
19521705
230041599
085691599
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
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(+ (* 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))))
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x
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x
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(* -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))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+.f64 x (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z)))))) (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))))
(+ (* 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 #s(literal 2 binary64) z)))))))) (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))))
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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(* 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 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+.f64 x (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 x x))) (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z)))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) z))))))))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) y)) x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) x)) x))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(+.f64 (+.f64 x (/.f64 (*.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) y) (/.f64 (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) x)) x))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) y)) x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) x)) x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) x) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) y) (/.f64 (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 x (*.f64 x x)))) y)) y))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (*.f64 z (-.f64 (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (*.f64 z (*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/10000000000000000 binary64)))))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (*.f64 z (+.f64 (*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/10000000000000000 binary64)))) (*.f64 z (+.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/10000000000000000 binary64)))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/30000000000000000 binary64))))))) (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))))
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 y (+.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 x x))) (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z)))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) z)))))))
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 y (+.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x x)) (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z)))))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) z)))))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) y)) x)
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) x)) x)
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) y) (/.f64 (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) x)) x))
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(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))

eval59.0ms (0.6%)

Compiler

Compiled 12873 to 1249 computations (90.3% saved)

prune52.0ms (0.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New38010390
Fresh000
Picked101
Done000
Total38110391
Accuracy
100.0%
Counts
391 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(+.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)))))
60.6%
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
59.8%
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) y)) x))
▶78.8%
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
80.0%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶95.5%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)))
70.7%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
▶62.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
▶12.7%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
▶68.4%
x
Compiler

Compiled 272 to 178 computations (34.6% saved)

simplify181.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 z)
✓cost-diff0
(/.f64 y (exp.f64 z))
✓cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
✓cost-diff0
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
✓cost-diff0
(-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
✓cost-diff0
(/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
✓cost-diff0
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓cost-diff256
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
✓cost-diff0
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y))
✓cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)))
✓cost-diff128
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
Rules
2614×*-lowering-*.f32
2614×*-lowering-*.f64
1978×fma-lowering-fma.f32
1978×fma-lowering-fma.f64
1848×sum4-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
025139
166133
2136125
3283123
4864122
53285121
67033121
08222121
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)))
x
(/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))
1
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
5641895835477563/5000000000000000
(exp z)
z
(* x y)
y
x
(* x (+ 1 (/ -1 (* x x))))
x
(+ 1 (/ -1 (* x x)))
1
(/ -1 (* x x))
-1
(* x x)
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y))))
x
(/ y (- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y)))
y
(- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y))
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000))
5641895835477563/5000000000000000
(* z 5641895835477563/5000000000000000)
z
(* x y)
(* 5000000000000000/5641895835477563 (/ y (exp z)))
5000000000000000/5641895835477563
(/ y (exp z))
y
(exp z)
z
Outputs
(+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) y) x)))
x
(/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) y) x))
1
#s(literal 1 binary64)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(-.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) y) x)
(- (* 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)
y
x
(* x (+ 1 (/ -1 (* x x))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(+ 1 (/ -1 (* x x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(/ -1 (* x x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
-1
#s(literal -1 binary64)
(* x x)
(*.f64 x x)
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y))))
(-.f64 x (/.f64 y (+.f64 (*.f64 x y) (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))))))
x
(/ y (- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y)))
(/.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
y
(- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y))
(+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* z 5641895835477563/5000000000000000)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
z
(* x y)
(*.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

localize137.0ms (1.4%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 z)
✓accuracy100.0%
(/.f64 y (exp.f64 z))
✓accuracy99.7%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
✓accuracy100.0%
(-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))
✓accuracy100.0%
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))
✓accuracy99.7%
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))
✓accuracy93.2%
(/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓accuracy99.3%
(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓accuracy85.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
✓accuracy100.0%
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y))
✓accuracy99.1%
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
✓accuracy95.1%
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
Results
78.0ms184×0valid
25.0ms72×0unsamplable
Compiler

Compiled 153 to 26 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 11.0ms (27.7% of total)
...c/correct-round.rkt:119:19: 10.0ms (25.2% of total)
ival-div: 9.0ms (22.7% of total)
ival-add: 5.0ms (12.6% of total)
ival-sub: 2.0ms (5% of total)
ival-exp: 2.0ms (5% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series63.0ms (0.6%)

Counts
17 → 396
Calls
Call 1
Inputs
#<alt (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)))>
#<alt (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (* x (+ 1 (/ -1 (* x x))))>
#<alt (+ 1 (/ -1 (* x x)))>
#<alt (/ -1 (* x x))>
#<alt (* x x)>
#<alt (+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y))))>
#<alt (/ y (- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y)))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y))>
#<alt (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (/ y (exp z))>
#<alt (exp z)>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* z 5641895835477563/5000000000000000)>
Outputs
#<alt (/ (- 5641895835477563/5000000000000000 (* x y)) y)>
#<alt (- (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x)>
#<alt (- (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))) x)>
#<alt (- (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (* 5641895835477563/10000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))) x)>
#<alt (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (* -1 x)>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))>
#<alt (* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))>
#<alt (* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))>
#<alt (* 5641895835477563/5000000000000000 (/ (exp z) y))>
#<alt (/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) y)>
#<alt (/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) y)>
#<alt (/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) y)>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))>
#<alt (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))>
#<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 (/ 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 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)))>
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#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
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#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
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#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y))))))))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
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#<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>
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#<alt (* 5641895835477563/5000000000000000 z)>
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#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* 5641895835477563/5000000000000000 z)>
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#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* 5641895835477563/5000000000000000 z)>
Calls

99 calls:

TimeVariablePointExpression
33.0ms
z
@inf
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
3.0ms
y
@-inf
(* 5000000000000000/5641895835477563 (/ y (exp z)))
3.0ms
x
@0
(/ y (- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y)))
1.0ms
z
@inf
(/ y (- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y)))
1.0ms
y
@inf
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y))))

rewrite333.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
3348×*-lowering-*.f32
3348×*-lowering-*.f64
3306×/-lowering-/.f32
3306×/-lowering-/.f64
1994×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025115
1177108
21609103
08735103
Stop Event
1×iter limit
1×node limit
Counts
17 → 447
Calls
Call 1
Inputs
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)))
(/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* x (+ 1 (/ -1 (* x x))))
(+ 1 (/ -1 (* x x)))
(/ -1 (* x x))
(* x x)
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y))))
(/ y (- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y)))
(- (+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000)) (* x y))
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/5000000000000000))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(/ y (exp z))
(exp z)
(* 5641895835477563/5000000000000000 (exp z))
(* z 5641895835477563/5000000000000000)
Outputs
(+.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) y) (neg.f64 (/.f64 (*.f64 x y) y)))
(+.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 (*.f64 (/.f64 y y) x))) (fma.f64 (neg.f64 (/.f64 y y)) x (*.f64 (/.f64 y y) x)))
(+.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 (*.f64 (/.f64 x y) y))) (fma.f64 (neg.f64 (/.f64 x y)) y (*.f64 (/.f64 x y) y)))
(+.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y))))
(+.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (neg.f64 (*.f64 (/.f64 y y) x))) (fma.f64 (neg.f64 (/.f64 y y)) x (*.f64 (/.f64 y y) x)))
(+.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (neg.f64 (*.f64 (/.f64 x y) y))) (fma.f64 (neg.f64 (/.f64 x y)) y (*.f64 (/.f64 x y) y)))
(+.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y))))
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(*.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 z) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 z) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (exp.f64 z) y))
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 z))
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(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (exp.f64 z)))
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(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (exp.f64 z)))
(/.f64 y (exp.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 z) y) #s(literal 1 binary64)))
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(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (exp.f64 z)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (exp.f64 z))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 z)))))
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(*.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 z)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 z))))
(*.f64 (exp.f64 (neg.f64 z)) y)
(*.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(exp.f64 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))

simplify377.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
5224×*-lowering-*.f32
5224×*-lowering-*.f64
3082×+-lowering-+.f64
3082×+-lowering-+.f32
2470×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06925037
123654553
083314553
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(/ (- 5641895835477563/5000000000000000 (* x y)) y)
(- (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x)
(- (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))) x)
(- (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (* 5641895835477563/10000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))) x)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(* -1 x)
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) y)
(/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) y)
(/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) y)
(* -1 x)
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(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(* -1 x)
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(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(* 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
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
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(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
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(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* 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))))
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(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
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(/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* (pow x 2) y))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ z (* x y))) (/ 5641895835477563/5000000000000000 (* x y))))) x)
(/ (- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) 2) (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* (pow x 3) (pow y 2)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ z (* x y))) (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* (pow x 2) y)))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (+ (* 5641895835477563/5000000000000000 (/ z (* x y))) (/ 5641895835477563/5000000000000000 (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 5641895835477563/5000000000000000 (/ z y)))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) 2) (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* x (pow y 2))) (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) y))) x)) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 5641895835477563/5000000000000000 (/ z y)))) x))) x))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(* 5641895835477563/5000000000000000 z)
(* z (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) (/ (* x y) z)))
(* z (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) (/ (* x y) z)))
(* z (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) (/ (* x y) z)))
(* 5641895835477563/5000000000000000 z)
(* -1 (* z (- (* -1 (/ (- 5641895835477563/5000000000000000 (* x y)) z)) 5641895835477563/5000000000000000)))
(* -1 (* z (- (* -1 (/ (- 5641895835477563/5000000000000000 (* x y)) z)) 5641895835477563/5000000000000000)))
(* -1 (* z (- (* -1 (/ (- 5641895835477563/5000000000000000 (* x y)) z)) 5641895835477563/5000000000000000)))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(* -1 (* x y))
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y))
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y))
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y))))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(* -1 (* x y))
(* y (- (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))
(* y (- (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))
(* y (- (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) y)) (* -1 x))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 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 (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
(+ 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))
(* 5641895835477563/5000000000000000 z)
(* 5641895835477563/5000000000000000 z)
(* 5641895835477563/5000000000000000 z)
(* 5641895835477563/5000000000000000 z)
(* 5641895835477563/5000000000000000 z)
(* 5641895835477563/5000000000000000 z)
(* 5641895835477563/5000000000000000 z)
(* 5641895835477563/5000000000000000 z)
(* 5641895835477563/5000000000000000 z)
(* 5641895835477563/5000000000000000 z)
(* 5641895835477563/5000000000000000 z)
(* 5641895835477563/5000000000000000 z)
Outputs
(/ (- 5641895835477563/5000000000000000 (* x y)) y)
(/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) y)
(- (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x)
(+.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
(- (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))) x)
(+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) y))) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
(- (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (* 5641895835477563/10000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))) x)
(+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (-.f64 (*.f64 z (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (*.f64 z (+.f64 (/.f64 (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)) y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y))))) x))
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
(/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) x) y)))
(* 5641895835477563/5000000000000000 (/ (exp z) y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))
(/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) y)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
(/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) y)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
(/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) y)
(/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y)))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x)
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+.f64 (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (exp.f64 (+.f64 z z))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+.f64 (*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (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 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) x) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (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 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (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 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (*.f64 y (*.f64 x x))))))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) 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)))
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(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (*.f64 y (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (*.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 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 y #s(literal 5000000000000000/5641895835477563 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) (*.f64 z (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (+.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))))))))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (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 y (*.f64 z #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 (+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) z)))) 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
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
(+ 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 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)

eval146.0ms (1.5%)

Compiler

Compiled 18749 to 2330 computations (87.6% saved)

prune101.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New8488856
Fresh415
Picked415
Done000
Total85610866
Accuracy
100.0%
Counts
866 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x)
▶12.9%
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
22.8%
(/.f64 #s(literal -1 binary64) x)
▶70.7%
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
▶80.0%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶80.6%
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x) y))))
80.0%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) y)))
▶12.6%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
12.9%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
✓68.4%
x
Compiler

Compiled 192 to 137 computations (28.6% saved)

simplify152.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓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 5641895835477563/5000000000000000 binary64) z)
✓cost-diff0
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
✓cost-diff0
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
✓cost-diff0
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓cost-diff0
(-.f64 (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x) y)
✓cost-diff0
(/.f64 y (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x) y)))
✓cost-diff0
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x) y))))
✓cost-diff128
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x) y))
Rules
1656×fma-lowering-fma.f32
1656×fma-lowering-fma.f64
1560×fmsub-define
1524×*-lowering-*.f32
1524×*-lowering-*.f64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
021127
137119
260116
3104116
4186107
5428107
61290107
74673106
08041106
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ x (/ y (* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y))))
x
(/ y (* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y)))
y
(* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y))
(- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
5641895835477563/5000000000000000
(* 5641895835477563/5000000000000000 z)
z
(* y 5000000000000000/5641895835477563)
y
5000000000000000/5641895835477563
(+ (/ -1 x) x)
(/ -1 x)
-1
x
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
y
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
5641895835477563/5000000000000000
(* 5641895835477563/5000000000000000 z)
z
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
x
(/ y (- 5641895835477563/5000000000000000 (* y x)))
y
(- 5641895835477563/5000000000000000 (* y x))
5641895835477563/5000000000000000
(* y x)
Outputs
(+ x (/ y (* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (*.f64 x y))))
x
(/ y (* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y)))
(/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (*.f64 x y)))
y
(* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y))
(-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (*.f64 x y))
(- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y)
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) x)) y)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) x))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
z
(* y 5000000000000000/5641895835477563)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(+ (/ -1 x) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
y
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
z
(+ 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)

localize148.0ms (1.5%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
✓accuracy100.0%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓accuracy89.7%
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓accuracy100.0%
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))
✓accuracy99.7%
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
✓accuracy99.6%
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
✓accuracy99.4%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓accuracy99.7%
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)
✓accuracy99.6%
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
✓accuracy89.8%
(/.f64 y (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x) y)))
✓accuracy89.3%
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x) y))
Results
105.0ms256×0valid
Compiler

Compiled 131 to 22 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 13.0ms (33.6% of total)
...c/correct-round.rkt:119:19: 10.0ms (25.9% of total)
ival-mult: 8.0ms (20.7% of total)
ival-add: 5.0ms (12.9% of total)
ival-sub: 3.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series36.0ms (0.4%)

Counts
15 → 348
Calls
Call 1
Inputs
#<alt (* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y))>
#<alt (+ x (/ y (* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y))))>
#<alt (/ y (* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y)))>
#<alt (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y)>
#<alt (* y 5000000000000000/5641895835477563)>
#<alt (+ (/ -1 x) x)>
#<alt (/ -1 x)>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))>
#<alt (/ y (- 5641895835477563/5000000000000000 (* y x)))>
#<alt (- 5641895835477563/5000000000000000 (* y x))>
#<alt (* y x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
Outputs
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))>
#<alt (+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))>
#<alt (+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)))))>
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#<alt x>
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#<alt x>
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#<alt x>
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#<alt (- x (/ 1 x))>
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#<alt (/ -1 x)>
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#<alt (/ -1 x)>
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#<alt 5641895835477563/5000000000000000>
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#<alt 5641895835477563/5000000000000000>
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#<alt (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
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#<alt (* x y)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))>
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#<alt (* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))>
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#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)>
Calls

87 calls:

TimeVariablePointExpression
6.0ms
x
@0
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
2.0ms
y
@-inf
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
2.0ms
z
@0
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
1.0ms
x
@0
(* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y))
1.0ms
y
@0
(* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y))

rewrite392.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
4080×/-lowering-/.f32
4080×/-lowering-/.f64
3870×*-lowering-*.f32
3870×*-lowering-*.f64
2072×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021105
113698
2132895
0861895
Stop Event
1×iter limit
1×node limit
Counts
15 → 355
Calls
Call 1
Inputs
(* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y))
(+ x (/ y (* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y))))
(/ y (* x (- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y)))
(- (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x) y)
(* y 5000000000000000/5641895835477563)
(+ (/ -1 x) x)
(/ -1 x)
(/ y (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(* 5641895835477563/5000000000000000 z)
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
(/ y (- 5641895835477563/5000000000000000 (* y x)))
(- 5641895835477563/5000000000000000 (* y x))
(* y x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
Outputs
(+.f64 (*.f64 x (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
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simplify489.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
4364×*-lowering-*.f32
4364×*-lowering-*.f64
2428×+-lowering-+.f64
2428×+-lowering-+.f32
2000×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06114362
120393975
268543952
080643952
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z)))
(* -1 (* x y))
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)))))
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)))))
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)))))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
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(+ (* 5641895835477563/5000000000000000 z) (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (/ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) z)))
(* z (+ 5641895835477563/5000000000000000 (/ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) z)))
(* z (+ 5641895835477563/5000000000000000 (/ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) z)))
(* 5641895835477563/5000000000000000 z)
(* -1 (* z (- (* -1 (/ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) z)) 5641895835477563/5000000000000000)))
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(* -1 (* z (- (* -1 (/ (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) z)) 5641895835477563/5000000000000000)))
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x
(* x (- 1 (/ 1 (pow x 2))))
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x
(+ x (/ y (* x (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))))))
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x
(+ x (* 5000000000000000/5641895835477563 (/ y z)))
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(* 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)
(/ 5641895835477563/5000000000000000 x)
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(* 5641895835477563/5000000000000000 (/ z x))
(* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(* 5641895835477563/5000000000000000 (/ z x))
(* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
Outputs
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
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(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
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x
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x
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x
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) x) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y)) x)) (-.f64 #s(literal 0 binary64) x))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))
(*.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
(* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))
(*.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
(* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))
(*.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(*.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(*.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(*.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 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))
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))
(*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 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 (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+.f64 (/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(* 5641895835477563/5000000000000000 (/ z x))
(/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) x)
(* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(*.f64 z (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) z)))
(* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(*.f64 z (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) z)))
(* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(*.f64 z (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) z)))
(* 5641895835477563/5000000000000000 (/ z x))
(/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) x)
(* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(*.f64 z (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) z)))
(* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(*.f64 z (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) z)))
(* z (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(*.f64 z (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) z)))
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)
(/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)
(/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x)

eval105.0ms (1.1%)

Compiler

Compiled 17799 to 2004 computations (88.7% saved)

prune77.0ms (0.8%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New7515756
Fresh224
Picked235
Done011
Total75511766
Accuracy
100.0%
Counts
766 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x)
▶12.6%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
▶22.8%
(/.f64 #s(literal -1 binary64) x)
✓70.7%
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
73.1%
(+.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
✓80.0%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶80.0%
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
▶57.9%
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
▶12.9%
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
✓12.6%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓68.4%
x
Compiler

Compiled 166 to 120 computations (27.7% saved)

simplify173.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 z #s(literal 1 binary64))
✓cost-diff0
(/.f64 y (+.f64 z #s(literal 1 binary64)))
✓cost-diff0
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
✓cost-diff0
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓cost-diff0
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
✓cost-diff0
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓cost-diff0
(/.f64 #s(literal -1 binary64) x)
✓cost-diff0
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)
✓cost-diff0
(/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
✓cost-diff0
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
✓cost-diff128
(*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
Rules
2498×fnmadd-define
2024×fma-define
1510×fnmsub-define
1466×sum3-define
1374×fmsub-define
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
01978
13277
24777
37177
410768
518768
630468
752768
8114268
9220368
10375168
11533768
12651068
13736467
14760267
15794467
0804367
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
(/ -1 x)
-1
x
(/ y 5641895835477563/5000000000000000)
y
5641895835477563/5000000000000000
(+ x (* y 5000000000000000/5641895835477563))
x
(* y 5000000000000000/5641895835477563)
y
5000000000000000/5641895835477563
(* (/ y (+ z 1)) 5000000000000000/5641895835477563)
(/ y (+ z 1))
y
(+ z 1)
z
1
5000000000000000/5641895835477563
Outputs
(+ x (/ y (* x (- (/ 5641895835477563/5000000000000000 x) y))))
(-.f64 x (/.f64 y (+.f64 (*.f64 x y) #s(literal -5641895835477563/5000000000000000 binary64))))
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)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(/ y 5641895835477563/5000000000000000)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
y
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ x (* y 5000000000000000/5641895835477563))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
x
(* y 5000000000000000/5641895835477563)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
y
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(* (/ y (+ z 1)) 5000000000000000/5641895835477563)
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))
(/ y (+ z 1))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
y
(+ z 1)
(+.f64 z #s(literal 1 binary64))
z
1
#s(literal 1 binary64)
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)

localize150.0ms (1.5%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y (+.f64 z #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 z #s(literal 1 binary64))
✓accuracy99.4%
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
✓accuracy100.0%
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
✓accuracy99.4%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓accuracy99.7%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(+.f64 x (/.f64 y (*.f64 x (-.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)
✓accuracy89.7%
(/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
Results
128.0ms256×0valid
Compiler

Compiled 82 to 20 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 13.0ms (35.7% of total)
...c/correct-round.rkt:119:19: 10.0ms (27.5% of total)
ival-add: 6.0ms (16.5% of total)
ival-mult: 5.0ms (13.7% of total)
ival-sub: 1.0ms (2.7% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
12 → 228
Calls
Call 1
Inputs
#<alt (* x (- (/ 5641895835477563/5000000000000000 x) y))>
#<alt (+ x (/ y (* x (- (/ 5641895835477563/5000000000000000 x) y))))>
#<alt (/ y (* x (- (/ 5641895835477563/5000000000000000 x) y)))>
#<alt (- (/ 5641895835477563/5000000000000000 x) y)>
#<alt (/ -1 x)>
#<alt (/ y 5641895835477563/5000000000000000)>
#<alt (+ x (* y 5000000000000000/5641895835477563))>
#<alt (* y 5000000000000000/5641895835477563)>
#<alt (* (/ y (+ z 1)) 5000000000000000/5641895835477563)>
#<alt (/ y (+ z 1))>
#<alt (+ z 1)>
#<alt (/ 5641895835477563/5000000000000000 x)>
Outputs
#<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 (* 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)>
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#<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 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 (/ -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 (* 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 (+ 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 (+ 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 z)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (* y z)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))))))>
#<alt (* 5000000000000000/5641895835477563 (/ y z))>
#<alt (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)>
#<alt (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))) z)>
#<alt (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* -5000000000000000/5641895835477563 (/ y (pow z 3))) (+ (* 5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2)))))) z)>
#<alt (* 5000000000000000/5641895835477563 (/ y z))>
#<alt (* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z)) (* -5000000000000000/5641895835477563 y)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z)) (* -5000000000000000/5641895835477563 y)) z)) (* -5000000000000000/5641895835477563 y)) z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* z (- (* y z) y)))>
#<alt (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y)))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (/ y z))) z)>
#<alt (/ (- (+ y (/ y (pow z 2))) (/ y z)) z)>
#<alt (/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) z)>
#<alt (/ y z)>
#<alt (* -1 (/ (+ (* -1 y) (/ y z)) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) z))>
#<alt 1>
#<alt (+ 1 z)>
#<alt (+ 1 z)>
#<alt (+ 1 z)>
#<alt z>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt z>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
Calls

57 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ y (* x (- (/ 5641895835477563/5000000000000000 x) y)))
1.0ms
y
@inf
(* (/ y (+ z 1)) 5000000000000000/5641895835477563)
1.0ms
y
@0
(* (/ y (+ z 1)) 5000000000000000/5641895835477563)
0.0ms
x
@-inf
(* x (- (/ 5641895835477563/5000000000000000 x) y))
0.0ms
y
@-inf
(* (/ y (+ z 1)) 5000000000000000/5641895835477563)

rewrite284.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
4042×/-lowering-/.f32
4042×/-lowering-/.f64
3662×*-lowering-*.f32
3662×*-lowering-*.f64
1714×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01964
110863
296363
0847463
Stop Event
1×iter limit
1×node limit
Counts
12 → 385
Calls
Call 1
Inputs
(* x (- (/ 5641895835477563/5000000000000000 x) y))
(+ x (/ y (* x (- (/ 5641895835477563/5000000000000000 x) y))))
(/ y (* x (- (/ 5641895835477563/5000000000000000 x) y)))
(- (/ 5641895835477563/5000000000000000 x) y)
(/ -1 x)
(/ y 5641895835477563/5000000000000000)
(+ x (* y 5000000000000000/5641895835477563))
(* y 5000000000000000/5641895835477563)
(* (/ y (+ z 1)) 5000000000000000/5641895835477563)
(/ y (+ z 1))
(+ z 1)
(/ 5641895835477563/5000000000000000 x)
Outputs
(+.f64 (/.f64 x (/.f64 x #s(literal 5641895835477563/5000000000000000 binary64))) (neg.f64 (*.f64 x y)))
(+.f64 (neg.f64 (*.f64 x y)) (/.f64 x (/.f64 x #s(literal 5641895835477563/5000000000000000 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) x) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(fma.f64 x (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (neg.f64 (*.f64 x y)))
(fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) x (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))) (*.f64 x (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (*.f64 x (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))) (*.f64 (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y y)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))) #s(literal -1 binary64))
(/.f64 (*.f64 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 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y y))) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) x) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y y)) x) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
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(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (-.f64 (+.f64 (*.f64 z z) #s(literal 1 binary64)) z))
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(*.f64 (/.f64 y (+.f64 (*.f64 z z) #s(literal -1 binary64))) (+.f64 z #s(literal -1 binary64)))
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(*.f64 (pow.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) #s(literal -1/2 binary64)))
(+.f64 z #s(literal 1 binary64))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) z)) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (*.f64 z z) #s(literal 1 binary64)) z))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (+.f64 z #s(literal -1 binary64)))
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(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5641895835477563/5000000000000000 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -1/2 binary64)))

simplify369.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
4068×*-lowering-*.f32
4068×*-lowering-*.f64
1886×+-lowering-+.f64
1886×+-lowering-+.f32
1834×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03091634
19611490
225281432
376411432
081901432
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
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)))
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(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
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(* 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)))))
(* 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)))))
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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)))
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x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
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(- x (/ 1 x))
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(- x (/ 1 x))
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(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))
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(* 5000000000000000/5641895835477563 y)
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(* y (+ 5000000000000000/5641895835477563 (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))
(/ -1 x)
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(- (* -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))
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(* 5000000000000000/5641895835477563 y)
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(/ -1 x)
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(/ (- (* -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)
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(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x))
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(/ 5641895835477563/5000000000000000 x)
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(* -1 y)
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(/ -1 x)
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(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
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(* 5000000000000000/5641895835477563 y)
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(* 5000000000000000/5641895835477563 y)
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(* 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 (* 5000000000000000/5641895835477563 y))
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(+ x (* 5000000000000000/5641895835477563 y))
x
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))
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x
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))
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x
(+ x (* 5000000000000000/5641895835477563 y))
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(* 5000000000000000/5641895835477563 y)
(* y (+ 5000000000000000/5641895835477563 (/ x y)))
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(* -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 (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (* y z)))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))))))
(* 5000000000000000/5641895835477563 (/ y z))
(/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)
(/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))) z)
(/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* -5000000000000000/5641895835477563 (/ y (pow z 3))) (+ (* 5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2)))))) z)
(* 5000000000000000/5641895835477563 (/ y z))
(* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z)) (* -5000000000000000/5641895835477563 y)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z)) (* -5000000000000000/5641895835477563 y)) z)) (* -5000000000000000/5641895835477563 y)) z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* y z) y)))
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y)))
(/ y z)
(/ (+ y (* -1 (/ y z))) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) z)
(/ y z)
(* -1 (/ (+ (* -1 y) (/ y z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) z))
1
(+ 1 z)
(+ 1 z)
(+ 1 z)
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(/ 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)
Outputs
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
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5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
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(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
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x
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x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
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x
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(+ x (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))))
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(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))
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(* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 x x))) (*.f64 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)))))
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(/ -1 x)
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1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
z
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
z
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)

eval71.0ms (0.7%)

Compiler

Compiled 10276 to 1423 computations (86.2% saved)

prune83.0ms (0.8%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New6121613
Fresh112
Picked055
Done044
Total61311624
Accuracy
100.0%
Counts
624 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x)
✓12.6%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓22.8%
(/.f64 #s(literal -1 binary64) x)
✓70.7%
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
✓80.0%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓80.0%
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
57.9%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
✓57.9%
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
✓12.9%
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
✓12.6%
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓68.4%
x
Compiler

Compiled 317 to 149 computations (53% saved)

regimes75.0ms (0.8%)

Counts
25 → 2
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) y)))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(+.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x) y))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) y)) x))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)))
Calls

6 calls:

39.0ms
z
8.0ms
y
7.0ms
x
7.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
6.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
AccuracySegmentsBranch
95.5%1x
95.5%1y
98.7%2z
99.7%3(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
98.7%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
98.7%2(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes23.0ms (0.2%)

Counts
23 → 2
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) y)))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(+.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x) y))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Calls

3 calls:

10.0ms
z
6.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
98.7%2z
98.7%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
98.7%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes14.0ms (0.1%)

Counts
22 → 3
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) y)))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(+.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) x) y))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.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
Calls

2 calls:

7.0ms
z
5.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.9%3z
99.9%3(exp.f64 z)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
z
Results
AccuracySegmentsBranch
99.9%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts
17 → 3
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) y)))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(+.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
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:

7.0ms
z
Results
AccuracySegmentsBranch
99.9%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.2%)

Counts
13 → 3
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) x)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)))
x
Calls

3 calls:

6.0ms
x
4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
77.7%4x
81.2%3y
90.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
90.1%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Counts
5 → 4
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
Outputs
x
(/.f64 #s(literal -1 binary64) x)
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
x
Calls

2 calls:

2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
73.6%3y
78.8%4z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Counts
4 → 5
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
x
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 #s(literal -1 binary64) x)
x
Calls

2 calls:

2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
77.7%5x
74.1%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Counts
3 → 5
Calls
Call 1
Inputs
x
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 #s(literal -1 binary64) x)
Outputs
x
(/.f64 #s(literal -1 binary64) x)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 #s(literal -1 binary64) x)
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
77.7%5x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -41.7b remaining (-206.1%)

Threshold costs -41.7b (-206.1%)

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

3 calls:

2.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
68.4%1y
68.4%1z
68.4%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.6523993884543247
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.6523993884543247
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000121403
1.0000000000381153
0.0ms
0.0
0.6523993884543247
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch35.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.214023826905577e-11
3.8115308458466734e-11
21.0ms
-76056471.111293
-0.4270983456141285
Results
24.0ms224×0valid
Compiler

Compiled 365 to 252 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
...c/correct-round.rkt:119:19: 4.0ms (28.5% of total)
ival-exp: 3.0ms (21.4% of total)
ival-mult: 3.0ms (21.4% of total)
ival-div: 2.0ms (14.3% of total)
ival-sub: 1.0ms (7.1% of total)
ival-add: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.214023826905577e-11
3.8115308458466734e-11
19.0ms
-76056471.111293
-0.4270983456141285
Results
24.0ms224×0valid
Compiler

Compiled 309 to 224 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 4.0ms (26.5% of total)
...c/correct-round.rkt:119:19: 4.0ms (26.5% of total)
ival-mult: 3.0ms (19.9% of total)
ival-div: 2.0ms (13.2% of total)
ival-sub: 1.0ms (6.6% of total)
ival-add: 1.0ms (6.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch62.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
3.123347680582675e-108
2.5700696211457897e-98
23.0ms
-1.932208176991031e-7
-3.862285739485639e-15
Results
33.0ms304×0valid
Compiler

Compiled 361 to 289 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 7.0ms (32.6% of total)
...c/correct-round.rkt:119:19: 6.0ms (27.9% of total)
ival-exp: 3.0ms (14% of total)
ival-div: 2.0ms (9.3% of total)
ival-add: 2.0ms (9.3% of total)
ival-sub: 1.0ms (4.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch64.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
3.123347680582675e-108
2.5700696211457897e-98
37.0ms
-1.932208176991031e-7
-3.862285739485639e-15
Results
51.0ms304×0valid
Compiler

Compiled 323 to 251 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 5.0ms (23.6% of total)
...c/correct-round.rkt:119:19: 5.0ms (23.6% of total)
ival-mult: 4.0ms (18.9% of total)
ival-exp: 3.0ms (14.2% of total)
ival-sub: 2.0ms (9.4% of total)
ival-add: 2.0ms (9.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch67.0ms (0.7%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
3.123347680582675e-108
2.5700696211457897e-98
17.0ms
-7.711054985931824e+31
-5.879834804450821e+29
23.0ms
-2.070925479885447e+262
-7.738349211571524e+248
Results
48.0ms432×0valid
Compiler

Compiled 393 to 316 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
...c/correct-round.rkt:119:19: 9.0ms (32.4% of total)
ival-mult: 7.0ms (25.2% of total)
ival-sub: 3.0ms (10.8% of total)
ival-div: 3.0ms (10.8% of total)
ival-exp: 3.0ms (10.8% of total)
ival-add: 2.0ms (7.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch76.0ms (0.8%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
3.77073980513296e-62
2.8958352618510068e-59
16.0ms
5.0963616623964354e-176
1.1161401744876128e-173
21.0ms
-1.2530321798726287e-288
-1.2192417113562729e-296
16.0ms
-2.479899585136971e-148
-2.399348933048322e-150
Results
54.0ms496×0valid
Compiler

Compiled 425 to 357 computations (16% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
...c/correct-round.rkt:119:19: 11.0ms (31.5% of total)
ival-mult: 7.0ms (20% of total)
ival-exp: 6.0ms (17.2% of total)
ival-div: 4.0ms (11.4% of total)
ival-add: 4.0ms (11.4% of total)
ival-sub: 3.0ms (8.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch95.0ms (0.9%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
3.77073980513296e-62
2.8958352618510068e-59
36.0ms
5.0963616623964354e-176
1.1161401744876128e-173
18.0ms
-1.2530321798726287e-288
-1.2192417113562729e-296
18.0ms
-2.479899585136971e-148
-2.399348933048322e-150
Results
47.0ms496×0valid
Compiler

Compiled 425 to 357 computations (16% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
...c/correct-round.rkt:119:19: 8.0ms (28.6% of total)
ival-mult: 7.0ms (25% of total)
ival-div: 4.0ms (14.3% of total)
ival-exp: 4.0ms (14.3% of total)
ival-sub: 2.0ms (7.1% of total)
ival-add: 2.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify32.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0102256
1132256
2146256
3152256
4155256
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 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 562949953432571/562949953421312 binary64)) (+.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))
(if (<=.f64 z #s(literal -300 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 1470053796651389/38685626227668133590597632 binary64)) (+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) x))
(if (<=.f64 z #s(literal -63 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 1470053796651389/38685626227668133590597632 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) x))
(if (<=.f64 z #s(literal -8825158483186793/2417851639229258349412352 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 3102907987966065/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) x))
(if (<=.f64 z #s(literal -4110347786689739/604462909807314587353088 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 2154797213865323/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x))
(if (<=.f64 z #s(literal -2799999999999999800566753457026921103254870098272414514248988145964116266992676983221689756035187174038928291354733177871210420726203143188100400206267423775893592490088253102263004591720983148674168612068658013455928491929465093235841999014971198704985770557440 binary64)) x (if (<=.f64 z #s(literal -2199999999999999987451179302912 binary64)) (/.f64 #s(literal -1 binary64) x) (if (<=.f64 z #s(literal 6461929016208695/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))
(if (<=.f64 x #s(literal -5470679174164527/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) x (if (<=.f64 x #s(literal -8539042390596001/89884656743115795386465259539451236680898848947115328636715040578866337902750481566354238661203768010560056939935696678829394884407208311246423715319737062188883946712432742638151109800623047059726541476042502884419075341171231440736956555270413618581675255342293149119973622969239858152417678164812112068608 binary64)) (/.f64 #s(literal -1 binary64) x) (if (<=.f64 x #s(literal 4099067742394941/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592 binary64)) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) (if (<=.f64 x #s(literal 2677692063612937/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (/.f64 #s(literal -1 binary64) x) x))))
(if (<=.f64 x #s(literal -755817517483257/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) x (if (<=.f64 x #s(literal -4213343284833553/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (/.f64 #s(literal -1 binary64) x) (if (<=.f64 x #s(literal 4705016886922889/71288134650346800291268306339067051951456695425758748915299883092176174487635584164154887676833928121541286087087412614229511011271491218722697833120659596691437416786879139845044909253853184 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (if (<=.f64 x #s(literal 1628326254899759/3618502788666131106986593281521497120414687020801267626233049500247285301248 binary64)) (/.f64 #s(literal -1 binary64) x) x))))
x
Outputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) y))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 562949953432571/562949953421312 binary64)) (+.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))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 562949953432571/562949953421312 binary64)) (+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z y)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) x))
(if (<=.f64 z #s(literal -300 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 1470053796651389/38685626227668133590597632 binary64)) (+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) x))
(if (<=.f64 z #s(literal -63 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 1470053796651389/38685626227668133590597632 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) x))
(if (<=.f64 z #s(literal -63 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 1470053796651389/38685626227668133590597632 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x))
(if (<=.f64 z #s(literal -8825158483186793/2417851639229258349412352 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 3102907987966065/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) x))
(if (<=.f64 z #s(literal -4110347786689739/604462909807314587353088 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 2154797213865323/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x))
(if (<=.f64 z #s(literal -2799999999999999800566753457026921103254870098272414514248988145964116266992676983221689756035187174038928291354733177871210420726203143188100400206267423775893592490088253102263004591720983148674168612068658013455928491929465093235841999014971198704985770557440 binary64)) x (if (<=.f64 z #s(literal -2199999999999999987451179302912 binary64)) (/.f64 #s(literal -1 binary64) x) (if (<=.f64 z #s(literal 6461929016208695/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264 binary64)) (+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))
(if (<=.f64 x #s(literal -5470679174164527/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) x (if (<=.f64 x #s(literal -8539042390596001/89884656743115795386465259539451236680898848947115328636715040578866337902750481566354238661203768010560056939935696678829394884407208311246423715319737062188883946712432742638151109800623047059726541476042502884419075341171231440736956555270413618581675255342293149119973622969239858152417678164812112068608 binary64)) (/.f64 #s(literal -1 binary64) x) (if (<=.f64 x #s(literal 4099067742394941/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592 binary64)) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) (if (<=.f64 x #s(literal 2677692063612937/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (/.f64 #s(literal -1 binary64) x) x))))
(if (<=.f64 x #s(literal -755817517483257/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) x (if (<=.f64 x #s(literal -4213343284833553/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (/.f64 #s(literal -1 binary64) x) (if (<=.f64 x #s(literal 4705016886922889/71288134650346800291268306339067051951456695425758748915299883092176174487635584164154887676833928121541286087087412614229511011271491218722697833120659596691437416786879139845044909253853184 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (if (<=.f64 x #s(literal 1628326254899759/3618502788666131106986593281521497120414687020801267626233049500247285301248 binary64)) (/.f64 #s(literal -1 binary64) x) x))))
x

soundness2.2s (22.5%)

Rules
5224×*-lowering-*.f32
5224×*-lowering-*.f64
4364×*-lowering-*.f32
4364×*-lowering-*.f64
4050×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06925037
123654553
083314553
06114362
120393975
268543952
080643952
01964
110863
296363
0847463
01031
15931
251531
3696031
0855131
03031821
19521705
230041599
085691599
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 597 to 340 computations (43% saved)

preprocess81.0ms (0.8%)

Compiler

Compiled 578 to 244 computations (57.8% saved)

end0.0ms (0%)

Profiling

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