Development.Shake.Progress:message from shake-0.15.5

Time bar (total: 5.5s)

analyze31.0ms (0.6%)

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
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (51.9% of total)
ival-div: 2.0ms (20.7% of total)
ival-add: 2.0ms (20.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.0s (18.3%)

Results
729.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 338.0ms
ival-div: 214.0ms (63.2% of total)
ival-mult: 66.0ms (19.5% of total)
ival-add: 45.0ms (13.3% of total)
const: 10.0ms (3% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess77.0ms (1.4%)

Algorithm
2×egg-herbie
Rules
1788×fma-define
1756×fnmadd-define
1112×sum3-define
690×fnmsub-define
676×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01852
15242
212542
330042
493342
5220942
6415742
7489942
8498342
9513542
10518342
067
1107
2137
3147
0147
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (* x 100) (+ x y))
Outputs
(/ (* x 100) (+ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
Call 2
Inputs
(/ (* x 100) (+ x y))
(/ (* (neg x) 100) (+ (neg x) y))
(/ (* x 100) (+ x (neg y)))
(neg (/ (* (neg x) 100) (+ (neg x) y)))
(neg (/ (* x 100) (+ x (neg y))))
(/ (* y 100) (+ y x))
Outputs
(/ (* x 100) (+ x y))
(* x (/ 100 (+ x y)))
(/ (* (neg x) 100) (+ (neg x) y))
(* 100 (/ x (- x y)))
(/ (* x 100) (+ x (neg y)))
(* 100 (/ x (- x y)))
(neg (/ (* (neg x) 100) (+ (neg x) y)))
(* 100 (/ x (- y x)))
(neg (/ (* x 100) (+ x (neg y))))
(* 100 (/ x (- y x)))
(/ (* y 100) (+ y x))
(* 100 (/ y (+ x y)))

explain207.0ms (3.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
00-0-x
00-0-#s(literal 100 binary64)
00-0-(*.f64 x #s(literal 100 binary64))
00-0-(+.f64 x y)
00-0-y
Results
141.0ms512×0valid
Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-add: 46.0ms (78.2% of total)
ival-mult: 8.0ms (13.6% of total)
ival-div: 4.0ms (6.8% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
▶99.7%
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(*.f64 x #s(literal 100 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 x (+.f64 x y))
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
6×*-commutative
6×/-lowering-/.f32
6×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
11434
21534
01534
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* 100 (/ x (+ x y)))
100
(/ x (+ x y))
x
(+ x y)
y
(/ (* x 100) (+ x y))
(* x 100)
x
100
(+ x y)
y
Outputs
(* 100 (/ x (+ x y)))
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y))
100
#s(literal 100 binary64)
(/ x (+ x y))
(/.f64 x (+.f64 x y))
x
(+ x y)
(+.f64 x y)
y
(/ (* x 100) (+ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y))
(* x 100)
(*.f64 #s(literal 100 binary64) x)
x
100
#s(literal 100 binary64)
(+ x y)
(+.f64 x y)
y

localize64.0ms (1.2%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(*.f64 x #s(literal 100 binary64))
✓accuracy99.3%
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 x (+.f64 x y))
✓accuracy99.7%
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
Results
53.0ms256×0valid
Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (42.3% of total)
ival-mult: 3.0ms (31.7% of total)
ival-add: 2.0ms (21.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (* 100 (/ x (+ x y)))>
#<alt (/ x (+ x y))>
#<alt (+ x y)>
#<alt (/ (* x 100) (+ x y))>
#<alt (* x 100)>
Outputs
#<alt (* 100 (/ x y))>
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))>
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))>
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))>
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))>
#<alt (* 100 (/ x y))>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (* 100 (/ x y))>
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)>
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 100 (/ x y))>
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))>
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))>
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))>
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))>
#<alt (* 100 (/ x y))>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (* 100 (/ x y))>
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
Calls

27 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(* 100 (/ x (+ x y)))
0.0ms
x
@0
(* x 100)
0.0ms
x
@0
(* 100 (/ x (+ x y)))
0.0ms
y
@-inf
(* 100 (/ x (+ x y)))
0.0ms
x
@inf
(* 100 (/ x (+ x y)))

rewrite387.0ms (7.1%)

Algorithm
1×batch-egg-rewrite
Rules
3364×*-lowering-*.f32
3364×*-lowering-*.f64
2044×fma-lowering-fma.f32
2044×fma-lowering-fma.f64
1984×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
14025
227225
3268425
0865225
Stop Event
1×iter limit
1×node limit
Counts
5 → 459
Calls
Call 1
Inputs
(* 100 (/ x (+ x y)))
(/ x (+ x y))
(+ x y)
(/ (* x 100) (+ x y))
(* x 100)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) x) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 100 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y)))
(fma.f64 x (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)))
(fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) x (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y)))
(neg.f64 (*.f64 (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)) #s(literal 100 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 x y) x) #s(literal 100 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y))
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) x) #s(literal 100 binary64)))
(/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 x y) x) #s(literal -100 binary64)))
(/.f64 #s(literal -100 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1/100 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))
(/.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x)))))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (*.f64 (-.f64 y x) (*.f64 y (-.f64 y x)))))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -100 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (*.f64 (*.f64 x #s(literal -100 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) y))
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(fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))))
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(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y))
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) y))
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(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 100 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
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(*.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
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(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) x)))
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(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal 100 binary64) (*.f64 x (-.f64 x y))))
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(*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (-.f64 x y) #s(literal 100 binary64)))
(*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 100 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 x (-.f64 x y)))
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) (+.f64 x y)))
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(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x))
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(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) #s(literal -100 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))) (*.f64 #s(literal 100 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -100 binary64)))
(neg.f64 (*.f64 x #s(literal -100 binary64)))
(*.f64 #s(literal 100 binary64) x)
(*.f64 x #s(literal 100 binary64))
(*.f64 (*.f64 #s(literal 100 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -100 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -100 binary64)))
(*.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) x))

simplify334.0ms (6.1%)

Algorithm
1×egg-herbie
Rules
3882×*-lowering-*.f32
3882×*-lowering-*.f64
2156×/-lowering-/.f32
2156×/-lowering-/.f64
1398×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02191132
17351001
22010941
37317941
08203941
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
Outputs
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(*.f64 x (+.f64 (*.f64 x (/.f64 #s(literal -100 binary64) (*.f64 y y))) (/.f64 #s(literal 100 binary64) y)))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x)) (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x)) (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) y) (*.f64 #s(literal 100 binary64) x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) y) (*.f64 #s(literal 100 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal -100 binary64) (+.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))))) y)
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) y) (*.f64 #s(literal 100 binary64) x)) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (*.f64 x x))) y)) y)) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (+.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (*.f64 x x))) (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y)) y)) y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y y))))))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 y y))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (-.f64 x (*.f64 (/.f64 x y) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) x) (-.f64 #s(literal 0 binary64) y))
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (-.f64 x (*.f64 (/.f64 x y) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) x) (-.f64 #s(literal 0 binary64) y))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(*.f64 x (+.f64 (*.f64 x (/.f64 #s(literal -100 binary64) (*.f64 y y))) (/.f64 #s(literal 100 binary64) y)))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x)) (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x)) (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) y) (*.f64 #s(literal 100 binary64) x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) y) (*.f64 #s(literal 100 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal -100 binary64) (+.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))))) y)
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) y) (*.f64 #s(literal 100 binary64) x)) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (*.f64 x x))) y)) y)) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (+.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (*.f64 x x))) (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y)) y)) y)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)

eval299.0ms (5.4%)

Compiler

Compiled 16566 to 1392 computations (91.6% saved)

prune323.0ms (5.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New7195724
Fresh000
Picked112
Done000
Total7206726
Accuracy
100.0%
Counts
726 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
▶50.4%
(/.f64 (*.f64 x #s(literal 100 binary64)) y)
▶99.7%
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
▶99.8%
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
▶50.3%
(*.f64 #s(literal 100 binary64) (/.f64 x y))
▶51.9%
#s(literal 100 binary64)
Compiler

Compiled 79 to 56 computations (29.1% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 (+.f64 x y) #s(literal 100 binary64))
✓cost-diff0
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
✓cost-diff0
(*.f64 x #s(literal 100 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 x y))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 #s(literal 100 binary64) (+.f64 x y))
✓cost-diff0
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
Rules
20×*-lowering-*.f32
20×*-lowering-*.f64
16×/-lowering-/.f32
16×/-lowering-/.f64
8×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01259
12259
22459
02459
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ 100 (+ x y)) x)
(/ 100 (+ x y))
100
(+ x y)
x
y
100
(* 100 (/ x y))
100
(/ x y)
x
y
(/ (* x 100) y)
(* x 100)
x
100
y
(/ x (/ (+ x y) 100))
x
(/ (+ x y) 100)
(+ x y)
y
100
Outputs
(* (/ 100 (+ x y)) x)
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y))
(/ 100 (+ x y))
(/.f64 #s(literal 100 binary64) (+.f64 x y))
100
#s(literal 100 binary64)
(+ x y)
(+.f64 x y)
x
y
100
#s(literal 100 binary64)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
100
#s(literal 100 binary64)
(/ x y)
(/.f64 x y)
x
y
(/ (* x 100) y)
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* x 100)
(*.f64 #s(literal 100 binary64) x)
x
100
#s(literal 100 binary64)
y
(/ x (/ (+ x y) 100))
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y))
x
(/ (+ x y) 100)
(/.f64 (+.f64 x y) #s(literal 100 binary64))
(+ x y)
(+.f64 x y)
y
100
#s(literal 100 binary64)

localize79.0ms (1.4%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 (+.f64 x y) #s(literal 100 binary64))
✓accuracy99.7%
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 100 binary64))
✓accuracy99.7%
(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.6%
(*.f64 #s(literal 100 binary64) (/.f64 x y))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 #s(literal 100 binary64) (+.f64 x y))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
Results
63.0ms256×0valid
Compiler

Compiled 62 to 13 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 11.0ms (60.7% of total)
ival-mult: 5.0ms (27.6% of total)
ival-add: 2.0ms (11% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
9 → 204
Calls
Call 1
Inputs
#<alt (* (/ 100 (+ x y)) x)>
#<alt (/ 100 (+ x y))>
#<alt (+ x y)>
#<alt (* 100 (/ x y))>
#<alt (/ x y)>
#<alt (/ (* x 100) y)>
#<alt (* x 100)>
#<alt (/ x (/ (+ x y) 100))>
#<alt (/ (+ x y) 100)>
Outputs
#<alt (* 100 (/ x y))>
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))>
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))>
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))>
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))>
#<alt (* 100 (/ x y))>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (* 100 (/ x y))>
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))>
#<alt (/ 100 y)>
#<alt (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))>
#<alt (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))>
#<alt (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))>
#<alt (/ 100 x)>
#<alt (/ (+ 100 (* -100 (/ y x))) x)>
#<alt (/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x)>
#<alt (/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x)>
#<alt (/ 100 x)>
#<alt (* -1 (/ (- (* 100 (/ y x)) 100) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x))>
#<alt (/ 100 x)>
#<alt (+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x)))>
#<alt (+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))>
#<alt (+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))>
#<alt (/ 100 y)>
#<alt (/ (+ 100 (* -100 (/ x y))) y)>
#<alt (/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y)>
#<alt (/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y)>
#<alt (/ 100 y)>
#<alt (* -1 (/ (- (* 100 (/ x y)) 100) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 (/ x y))>
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))>
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))>
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))>
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))>
#<alt (* 100 (/ x y))>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (* 100 (/ x y))>
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))>
#<alt (* 1/100 y)>
#<alt (+ (* 1/100 x) (* 1/100 y))>
#<alt (+ (* 1/100 x) (* 1/100 y))>
#<alt (+ (* 1/100 x) (* 1/100 y))>
#<alt (* 1/100 x)>
#<alt (* x (+ 1/100 (* 1/100 (/ y x))))>
#<alt (* x (+ 1/100 (* 1/100 (/ y x))))>
#<alt (* x (+ 1/100 (* 1/100 (/ y x))))>
#<alt (* 1/100 x)>
#<alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100)))>
#<alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100)))>
#<alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100)))>
#<alt (* 1/100 x)>
#<alt (+ (* 1/100 x) (* 1/100 y))>
#<alt (+ (* 1/100 x) (* 1/100 y))>
#<alt (+ (* 1/100 x) (* 1/100 y))>
#<alt (* 1/100 y)>
#<alt (* y (+ 1/100 (* 1/100 (/ x y))))>
#<alt (* y (+ 1/100 (* 1/100 (/ x y))))>
#<alt (* y (+ 1/100 (* 1/100 (/ x y))))>
#<alt (* 1/100 y)>
#<alt (* -1 (* y (- (* -1/100 (/ x y)) 1/100)))>
#<alt (* -1 (* y (- (* -1/100 (/ x y)) 1/100)))>
#<alt (* -1 (* y (- (* -1/100 (/ x y)) 1/100)))>
Calls

51 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(/ (* x 100) y)
1.0ms
y
@0
(* 100 (/ x y))
1.0ms
x
@inf
(* 100 (/ x y))
0.0ms
x
@0
(* 100 (/ x y))
0.0ms
y
@inf
(/ 100 (+ x y))

rewrite598.0ms (10.9%)

Algorithm
1×batch-egg-rewrite
Rules
3610×*-lowering-*.f32
3610×*-lowering-*.f64
2278×fma-lowering-fma.f32
2278×fma-lowering-fma.f64
1794×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
16543
238543
3326543
0866643
Stop Event
1×iter limit
1×node limit
Counts
9 → 769
Calls
Call 1
Inputs
(* (/ 100 (+ x y)) x)
(/ 100 (+ x y))
(+ x y)
(* 100 (/ x y))
(/ x y)
(/ (* x 100) y)
(* x 100)
(/ x (/ (+ x y) 100))
(/ (+ x y) 100)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) (-.f64 x y)) x) (*.f64 (/.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) (-.f64 x y)) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) (-.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/100 binary64) (/.f64 x (+.f64 x y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (+.f64 x y) #s(literal -100 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) #s(literal -100 binary64))) (/.f64 x (/.f64 (+.f64 x y) #s(literal -100 binary64))))
(fma.f64 x (/.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) (-.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) (-.f64 x y))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)))
(fma.f64 (/.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) (-.f64 x y)) x (*.f64 (/.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) (-.f64 x y)) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 x (/.f64 (+.f64 x y) #s(literal -100 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) y)))
(neg.f64 (*.f64 (/.f64 #s(literal -100 binary64) (+.f64 x y)) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 x y) #s(literal -100 binary64)))))
(neg.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/100 binary64) (/.f64 x (+.f64 x y)))))
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
(/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y))
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 x y) #s(literal -100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) (/.f64 x (+.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1/100 binary64) x))
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64))
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(*.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) #s(literal 1/100 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/100 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 100 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (-.f64 x y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1/100 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/100 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1/100 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/100 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))) #s(literal 100 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1/100 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1/100 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/100 binary64))) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal 1 binary64)) (+.f64 x y))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/100 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) #s(literal 1 binary64)))

simplify301.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
4982×*-lowering-*.f32
4982×*-lowering-*.f64
1670×/-lowering-/.f32
1670×/-lowering-/.f64
1442×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02371649
17901502
221491419
376941419
082441419
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/ 100 y)
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))
(/ 100 x)
(/ (+ 100 (* -100 (/ y x))) x)
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x)
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x)
(/ 100 x)
(* -1 (/ (- (* 100 (/ y x)) 100) x))
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x))
(/ 100 x)
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x)))
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))
(/ 100 y)
(/ (+ 100 (* -100 (/ x y))) y)
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y)
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y)
(/ 100 y)
(* -1 (/ (- (* 100 (/ x y)) 100) y))
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ 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)
(/ x y)
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(* 1/100 y)
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(* 1/100 x)
(* x (+ 1/100 (* 1/100 (/ y x))))
(* x (+ 1/100 (* 1/100 (/ y x))))
(* x (+ 1/100 (* 1/100 (/ y x))))
(* 1/100 x)
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* 1/100 x)
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(* 1/100 y)
(* y (+ 1/100 (* 1/100 (/ x y))))
(* y (+ 1/100 (* 1/100 (/ x y))))
(* y (+ 1/100 (* 1/100 (/ x y))))
(* 1/100 y)
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
Outputs
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(*.f64 x (/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) y))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))) x))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))) x))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))) x))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(*.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal -100 binary64) y))
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)))) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(*.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal -100 binary64) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y))) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/.f64 (-.f64 (*.f64 x #s(literal -100 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -100 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (-.f64 #s(literal 0 binary64) y))
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) y)
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))
(+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))
(+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ (+ 100 (* -100 (/ y x))) x)
(/.f64 (-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x)) x)
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x)
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))) x)) x)
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x)
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(* -1 (/ (- (* 100 (/ y x)) 100) x))
(/.f64 (-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x))
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x))
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x)))
(/.f64 (-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x)) x)
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))
(+.f64 (/.f64 #s(literal 100 binary64) x) (*.f64 y (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))
(+.f64 (/.f64 #s(literal 100 binary64) x) (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 y #s(literal -100 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ (+ 100 (* -100 (/ x y))) y)
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) y)
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y)
(/.f64 (+.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) y)
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y))) y)) y))
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(* -1 (/ (- (* 100 (/ x y)) 100) y))
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -100 binary64) (*.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y))) y)) y))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 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)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(*.f64 x (/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) y))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))) x))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))) x))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))) x))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(*.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal -100 binary64) y))
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)))) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(*.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal -100 binary64) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y))) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/.f64 (-.f64 (*.f64 x #s(literal -100 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -100 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (-.f64 #s(literal 0 binary64) y))
(* 1/100 y)
(*.f64 y #s(literal 1/100 binary64))
(+ (* 1/100 x) (* 1/100 y))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
(+ (* 1/100 x) (* 1/100 y))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
(+ (* 1/100 x) (* 1/100 y))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* x (+ 1/100 (* 1/100 (/ y x))))
(*.f64 x (+.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 y #s(literal 1/100 binary64)) x)))
(* x (+ 1/100 (* 1/100 (/ y x))))
(*.f64 x (+.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 y #s(literal 1/100 binary64)) x)))
(* x (+ 1/100 (* 1/100 (/ y x))))
(*.f64 x (+.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 y #s(literal 1/100 binary64)) x)))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(*.f64 x (+.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 y #s(literal 1/100 binary64)) x)))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(*.f64 x (+.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 y #s(literal 1/100 binary64)) x)))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(*.f64 x (+.f64 #s(literal 1/100 binary64) (/.f64 (*.f64 y #s(literal 1/100 binary64)) x)))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(+ (* 1/100 x) (* 1/100 y))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
(+ (* 1/100 x) (* 1/100 y))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
(+ (* 1/100 x) (* 1/100 y))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
(* 1/100 y)
(*.f64 y #s(literal 1/100 binary64))
(* y (+ 1/100 (* 1/100 (/ x y))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/100 binary64)))
(* y (+ 1/100 (* 1/100 (/ x y))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/100 binary64)))
(* y (+ 1/100 (* 1/100 (/ x y))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/100 binary64)))
(* 1/100 y)
(*.f64 y #s(literal 1/100 binary64))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/100 binary64)))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/100 binary64)))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/100 binary64)))

eval135.0ms (2.5%)

Compiler

Compiled 21080 to 2046 computations (90.3% saved)

prune217.0ms (4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New111531118
Fresh000
Picked235
Done011
Total111771124
Accuracy
100.0%
Counts
1124 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓50.4%
(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓99.7%
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
▶51.8%
(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
▶49.2%
(/.f64 #s(literal 100 binary64) (/.f64 y x))
▶50.4%
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
✓51.9%
#s(literal 100 binary64)
Compiler

Compiled 49 to 35 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 1/100 binary64))
✓cost-diff256
(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(/.f64 #s(literal 100 binary64) (/.f64 y x))
✓cost-diff0
(/.f64 #s(literal 100 binary64) y)
✓cost-diff0
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
Rules
16×*-lowering-*.f32
16×*-lowering-*.f64
12×/-lowering-/.f32
12×/-lowering-/.f64
8×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
11628
22328
32628
02628
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ 100 y) x)
(/ 100 y)
100
y
x
(/ 100 (/ y x))
100
(/ y x)
y
x
(/ x (* x 1/100))
x
(* x 1/100)
1/100
Outputs
(* (/ 100 y) x)
(/.f64 #s(literal 100 binary64) (/.f64 y x))
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
100
#s(literal 100 binary64)
y
x
(/ 100 (/ y x))
(/.f64 #s(literal 100 binary64) (/.f64 y x))
100
#s(literal 100 binary64)
(/ y x)
(/.f64 y x)
y
x
(/ x (* x 1/100))
#s(literal 100 binary64)
x
(* x 1/100)
(*.f64 x #s(literal 1/100 binary64))
1/100
#s(literal 1/100 binary64)

localize58.0ms (1.1%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
✓accuracy99.8%
(*.f64 x #s(literal 1/100 binary64))
✓accuracy100.0%
(/.f64 y x)
✓accuracy98.5%
(/.f64 #s(literal 100 binary64) (/.f64 y x))
✓accuracy100.0%
(/.f64 #s(literal 100 binary64) y)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
Results
46.0ms256×0valid
Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 8.0ms (43.5% of total)
...c/correct-round.rkt:119:19: 6.0ms (32.6% of total)
ival-mult: 4.0ms (21.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
6 → 108
Calls
Call 1
Inputs
#<alt (* (/ 100 y) x)>
#<alt (/ 100 y)>
#<alt (/ 100 (/ y x))>
#<alt (/ y x)>
#<alt (/ x (* x 1/100))>
#<alt (* x 1/100)>
Outputs
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (/ 100 y)>
#<alt (/ 100 y)>
#<alt (/ 100 y)>
#<alt (/ 100 y)>
#<alt (/ 100 y)>
#<alt (/ 100 y)>
#<alt (/ 100 y)>
#<alt (/ 100 y)>
#<alt (/ 100 y)>
#<alt (/ 100 y)>
#<alt (/ 100 y)>
#<alt (/ 100 y)>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
Calls

27 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(/ y x)
0.0ms
y
@0
(/ y x)
0.0ms
x
@-inf
(/ y x)
0.0ms
x
@inf
(* x 1/100)
0.0ms
x
@0
(/ y x)

rewrite164.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
1882×*-lowering-*.f32
1882×*-lowering-*.f64
1560×/-lowering-/.f32
1560×/-lowering-/.f64
632×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01024
14320
222120
385420
0419920
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
6 → 367
Calls
Call 1
Inputs
(* (/ 100 y) x)
(/ 100 y)
(/ 100 (/ y x))
(/ y x)
(/ x (* x 1/100))
(* x 1/100)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -100 binary64) y)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(+.f64 (*.f64 (/.f64 #s(literal -100 binary64) y) #s(literal 0 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 y x) #s(literal 100 binary64)))))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y #s(literal 100 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal -100 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal 100 binary64))) (/.f64 x (/.f64 y #s(literal -100 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal -100 binary64))) (/.f64 x (/.f64 y #s(literal -100 binary64))))
(neg.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 y #s(literal 100 binary64)))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal -100 binary64)))
(/.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 100 binary64)))
(/.f64 (/.f64 x y) #s(literal 1/100 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/100 binary64) x))
(/.f64 (/.f64 x #s(literal 1/100 binary64)) y)
(/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x #s(literal -1/100 binary64))))
(/.f64 (/.f64 x #s(literal -1/100 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1/100 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1/100 binary64) x))
(/.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -100 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y #s(literal -100 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 y #s(literal -100 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (/.f64 y #s(literal -100 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (/.f64 y #s(literal -100 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 y #s(literal -100 binary64)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (/.f64 y #s(literal -100 binary64)) x))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (*.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 y x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal -100 binary64)) (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 100 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -100 binary64)) (*.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) (/.f64 x (/.f64 y #s(literal -100 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal -100 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) (/.f64 x (/.f64 y #s(literal -100 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal -100 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -100 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -100 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -100 binary64) y)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -100 binary64) y)) x)
(/.f64 (/.f64 #s(literal 100 binary64) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 y x) #s(literal 100 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 y x) #s(literal 100 binary64)) (/.f64 (/.f64 y x) #s(literal 100 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 100 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(*.f64 x (/.f64 #s(literal 100 binary64) y))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -100 binary64) y))
(*.f64 #s(literal -100 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(*.f64 (/.f64 x y) #s(literal 100 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/100 binary64)))
(*.f64 (/.f64 x #s(literal 1/100 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y #s(literal -100 binary64))))
(*.f64 (/.f64 x #s(literal -1/100 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -100 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1/100 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1/100 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -100 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 100 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1/100 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/100 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/100 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1/100 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 100 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -100 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -100 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/100 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/100 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -100 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/100 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 x #s(literal 1/100 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 y (*.f64 x (/.f64 x y))))
(*.f64 (/.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (/.f64 x y))))) (/.f64 y x))
(*.f64 (/.f64 (/.f64 x #s(literal -1/100 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x #s(literal -1/100 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) y)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) y))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y #s(literal 100 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -100 binary64) y))
(neg.f64 (/.f64 #s(literal -100 binary64) y))
(/.f64 #s(literal 100 binary64) y)
(/.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 100 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/100 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y #s(literal -100 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/100 binary64))
(/.f64 (/.f64 #s(literal -100 binary64) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -100 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal -100 binary64) y) (/.f64 #s(literal -100 binary64) y)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -100 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -100 binary64) y) (/.f64 #s(literal -100 binary64) y))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -100 binary64) y)))
(pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 y #s(literal 100 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y #s(literal 100 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -100 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 100 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -100 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64))
(*.f64 (/.f64 #s(literal -100 binary64) y) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/100 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) y)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -100 binary64) y)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(+.f64 (*.f64 (/.f64 #s(literal -100 binary64) y) #s(literal 0 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 y x) #s(literal 100 binary64)))))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
#s(literal 100 binary64)
(+.f64 (/.f64 x #s(literal 100 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 100 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x #s(literal 100 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/100 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64)))
(neg.f64 (*.f64 x #s(literal -1/100 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64)))
(neg.f64 (/.f64 #s(literal 1/100 binary64) (/.f64 #s(literal -1 binary64) x)))
(/.f64 x #s(literal 100 binary64))
(/.f64 #s(literal 1/100 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal 100 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -100 binary64))
(/.f64 (*.f64 x #s(literal -1/100 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -100 binary64) x))
(/.f64 #s(literal -1/100 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1000000 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 1/10000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1000000 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/10000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 1/10000 binary64))) (*.f64 x #s(literal -1/100 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1000000 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/10000 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 1/10000 binary64)))) (/.f64 x #s(literal 100 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1000000 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/10000 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x #s(literal -1/100 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 1/10000 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1000000 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/10000 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 1/10000 binary64)))) (/.f64 x #s(literal 100 binary64)))
(/.f64 (*.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/100 binary64)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/100 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x #s(literal 100 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 x #s(literal 100 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/100 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 x #s(literal 100 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 100 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/100 binary64))
(*.f64 #s(literal 1/100 binary64) x)
(*.f64 (/.f64 x #s(literal 100 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/100 binary64))
(*.f64 (*.f64 x #s(literal -1/100 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 100 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/100 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64)))
(*.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) x))

simplify15.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
16×*-lowering-*.f32
16×*-lowering-*.f64
8×*-commutative
8×/-lowering-/.f32
8×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09396
113396
215396
316396
417396
017396
Stop Event
1×iter limit
1×saturated
Counts
108 → 108
Calls
Call 1
Inputs
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(/ 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 x)
100
100
100
100
100
100
100
100
100
100
100
100
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
Outputs
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))

eval50.0ms (0.9%)

Compiler

Compiled 4702 to 681 computations (85.5% saved)

prune38.0ms (0.7%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New4750475
Fresh000
Picked033
Done044
Total4757482
Accuracy
100.0%
Counts
482 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓50.4%
(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓99.7%
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
✓51.8%
(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
✓49.2%
(/.f64 #s(literal 100 binary64) (/.f64 y x))
✓50.4%
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
✓51.9%
#s(literal 100 binary64)
Compiler

Compiled 105 to 57 computations (45.7% saved)

regimes11.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/.f64 #s(literal 100 binary64) (/.f64 y x))
(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
(/.f64 (*.f64 x #s(literal 100 binary64)) y)
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Outputs
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
Calls

3 calls:

4.0ms
y
4.0ms
x
3.0ms
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/.f64 #s(literal 100 binary64) (/.f64 y x))
(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
(/.f64 (*.f64 x #s(literal 100 binary64)) y)
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
Calls

2 calls:

4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/.f64 #s(literal 100 binary64) (/.f64 y x))
(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
(/.f64 (*.f64 x #s(literal 100 binary64)) y)
Outputs
#s(literal 100 binary64)
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
#s(literal 100 binary64)
Calls

2 calls:

3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
81.8%3x
77.9%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 x y))
Outputs
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 x y))
#s(literal 100 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
81.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 100 binary64)
Outputs
#s(literal 100 binary64)
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
51.9%1y
51.9%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch25.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
4.686150173997218e-52
3.3247736621847546e-50
12.0ms
-1.311506136734658e-52
-1.1212452213568188e-59
Results
15.0ms256×0valid
Compiler

Compiled 206 to 170 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.9% of total)
ival-mult: 2.0ms (35.9% of total)
ival-add: 1.0ms (18% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
4.686150173997218e-52
3.3247736621847546e-50
20.0ms
-1.311506136734658e-52
-1.1212452213568188e-59
Results
21.0ms256×0valid
Compiler

Compiled 206 to 170 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (36.5% of total)
ival-mult: 2.0ms (36.5% of total)
ival-add: 1.0ms (18.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify15.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
4×if-if-or-not_binary32
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02445
13545
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
(if (<=.f64 x #s(literal -4852790400087115/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 410717937507373/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) y) x) #s(literal 100 binary64)))
(if (<=.f64 x #s(literal -4097911893406897/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 5728988666769511/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 x y)) #s(literal 100 binary64)))
#s(literal 100 binary64)
Outputs
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
(*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 x y)))
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
(if (<=.f64 x #s(literal -4852790400087115/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 410717937507373/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) y) x) #s(literal 100 binary64)))
(if (<=.f64 x #s(literal -4852790400087115/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 410717937507373/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (*.f64 x (/.f64 #s(literal 100 binary64) y)) #s(literal 100 binary64)))
(if (<=.f64 x #s(literal -4097911893406897/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 5728988666769511/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 x y)) #s(literal 100 binary64)))
#s(literal 100 binary64)

soundness921.0ms (16.8%)

Rules
3882×*-lowering-*.f32
3882×*-lowering-*.f64
3610×*-lowering-*.f32
3610×*-lowering-*.f64
3364×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2137
3147
0147
01243
16543
238543
3326543
0866643
02191132
17351001
22010941
37317941
08203941
0825
14025
227225
3268425
0865225
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
Compiler

Compiled 149 to 96 computations (35.6% saved)

preprocess38.0ms (0.7%)

Compiler

Compiled 134 to 76 computations (43.3% saved)

end0.0ms (0%)

Profiling

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