Data.Colour.RGB:hslsv from colour-2.3.3, D

Time bar (total: 2.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze73.0ms (2.6%)

Memory
0.6MiB live, 47.8MiB allocated; 2ms collecting garbage
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 9 to 7 computations (22.2% saved)

sample998.0ms (35.3%)

Memory
-13.4MiB live, 886.4MiB allocated; 235ms collecting garbage
Samples
700.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 398.0ms
ival-sub: 228.0ms (57.3% of total)
ival-div: 87.0ms (21.9% of total)
ival-add: 73.0ms (18.3% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 3.0ms (0.8% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain82.0ms (2.9%)

Memory
16.0MiB live, 62.7MiB allocated; 4ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (-.f64 x y) (+.f64 x y))
00-0-y
00-0-(-.f64 x y)
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
55.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sub: 37.0ms (84.9% of total)
ival-div: 3.0ms (6.9% of total)
ival-add: 3.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess15.0ms (0.5%)

Memory
23.2MiB live, 23.2MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01545
13545
25143
36743
48043
59943
610943
711343
811743
057
087
1127
0127
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (-.f64 x y) (+.f64 y x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune21.0ms (0.8%)

Memory
-59.0MiB live, 1.3MiB allocated; 30ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) (+.f64 x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11215
01215
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 y x)

localize15.0ms (0.5%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(+.f64 x y)
accuracy0.0078125
(/.f64 (-.f64 x y) (+.f64 x y))
Samples
11.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43.6% of total)
ival-sub: 1.0ms (21.8% of total)
ival-add: 1.0ms (21.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Counts
3 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
(+.f64 x y)
Outputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* -1 y)
(- x y)
y
(+ x y)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ x (* -1 y))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

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

simplify219.0ms (7.7%)

Memory
41.5MiB live, 171.6MiB allocated; 28ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142402
1446385
21448315
36498315
08389287
Stop Event
1×iter limit
1×node limit
Counts
33 → 31
Calls
Call 1
Inputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* -1 y)
(- x y)
y
(+ x y)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ x (* -1 y))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
y
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) x) y #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) x) x) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) x) x) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(+ 1 (* -2 (/ y x)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)) x) x) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
(+ x (* -1 y))
(-.f64 x y)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)))
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))

rewrite149.0ms (5.3%)

Memory
-35.2MiB live, 156.7MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13213
222513
0297013
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
3 → 306
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
(+.f64 x y)
Outputs
(*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(*.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 x y) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 (neg.f64 (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x y))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 y x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 x y))
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (+.f64 y x)) (+.f64 y x))
(/.f64 (/.f64 (-.f64 x y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
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(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y x)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) y))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(+.f64 y x)
(+.f64 x y)

eval43.0ms (1.5%)

Memory
27.4MiB live, 76.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 9 202 to 947 computations (89.7% saved)

prune8.0ms (0.3%)

Memory
-24.6MiB live, 22.2MiB allocated; 2ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3205325
Fresh000
Picked011
Done000
Total3206326
Accuracy
100.0%
Counts
326 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 x y) (+.f64 x y))
▶47.1%
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
▶55.4%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
▶46.1%
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))))
▶54.4%
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
▶46.0%
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Compiler

Compiled 145 to 103 computations (29% saved)

simplify149.0ms (5.3%)

Memory
37.7MiB live, 224.9MiB allocated; 24ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
cost-diff0
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))))
cost-diff2
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)))
cost-diff0
(+.f64 x y)
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x y) (neg.f64 y))
cost-diff0
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
cost-diff0
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028169
044169
176169
2169169
3615167
42517167
08080165
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
y
#s(literal 1 binary64)
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(+.f64 x y)
x
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)))
#s(literal 2 binary64)
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
y
#s(literal 3 binary64)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
y
#s(literal 1 binary64)
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 y x))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(+.f64 x y)
(+.f64 y x)
x
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))))
#s(approx (/ (- x y) (+ x y)) (-.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1 binary64))
#s(literal 2 binary64)
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
y
#s(literal 3 binary64)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
#s(literal 1 binary64)

localize98.0ms (3.5%)

Memory
-33.9MiB live, 118.9MiB allocated; 32ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.20806508791597814
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy2.009413811526351
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x)
accuracy8.574218750000002
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)))
accuracy34.13565584299658
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))))
accuracy0.0
(+.f64 x y)
accuracy0.0
(neg.f64 y)
accuracy0.0078125
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
accuracy33.96891323138079
#s(approx (- x y) (neg.f64 y))
accuracy29.15535855415638
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
accuracy34.586038199188536
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
accuracy0.0
(/.f64 #s(literal -2 binary64) x)
accuracy0.1171875
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
accuracy28.568809326705573
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
Samples
44.0ms256×0valid
Compiler

Compiled 141 to 26 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 9.0ms (29.9% of total)
ival-mult: 6.0ms (19.9% of total)
ival-pow: 6.0ms (19.9% of total)
ival-add: 4.0ms (13.3% of total)
ival-sub: 3.0ms (10% of total)
exact: 1.0ms (3.3% of total)
ival-neg: 1.0ms (3.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.7%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Counts
14 → 61
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) x)
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(+.f64 x y)
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x)
Outputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* -2 (/ y x))
(/ (+ x (* -2 y)) x)
(/ -2 x)
(* -1 y)
(- x y)
y
(+ x y)
(/ (pow x 3) (pow y 3))
(/ x y)
(* 2 (/ x y))
(* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(+ 1 (* -2 (/ y x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(* 2 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (- (* 2 (/ 1 (pow y 3))) (* 2 (/ 1 (* x (pow y 2))))))
(* (pow x 3) (- (+ (* 2 (/ 1 (pow y 3))) (/ 2 (* (pow x 2) y))) (/ 2 (* x (pow y 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 (pow y 3)))) (+ (/ 1 (pow x 3)) (/ 2 (* x (pow y 2))))))
(* -2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* (pow x 3) (- (* 2 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 (pow y 3))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 (pow y 3))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 (pow y 3))))))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ x (* -1 y))
(/ (+ (* -2 (* (pow x 2) y)) (* 2 (pow x 3))) (pow y 3))
(/ (+ (* 2 (pow x 3)) (* y (+ (* -2 (pow x 2)) (* 2 (* x y))))) (pow y 3))
(/ (+ (* 2 (pow x 3)) (* y (+ (* -2 (pow x 2)) (* y (+ (* -1 y) (* 2 x)))))) (pow y 3))
(/ (+ (* -2 (pow x 2)) (* 2 (* x y))) (pow y 2))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* y (- (/ 1 y) (* 2 (/ 1 x))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1)
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (* 2 (/ (pow x 3) (pow y 3))))) 1)
(/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(- (* -1 (/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y)) 1)
(- (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (* 2 (/ (pow x 3) y))) y))) y)) 1)
(* -1 (/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (+ (* 2 (pow (/ x y) 3)) (- (* (/ (+ (* (/ -2 y) x) 2) y) x) 1)) (/ (- x y) (+ x y)) (pow (/ x y) 3) (/ x y) (* (/ (+ (* (/ -2 y) x) 2) y) x))
3.0ms
x
@0
((/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (+ (* 2 (pow (/ x y) 3)) (- (* (/ (+ (* (/ -2 y) x) 2) y) x) 1)) (/ (- x y) (+ x y)) (pow (/ x y) 3) (/ x y) (* (/ (+ (* (/ -2 y) x) 2) y) x))
3.0ms
x
@inf
((/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (+ (* 2 (pow (/ x y) 3)) (- (* (/ (+ (* (/ -2 y) x) 2) y) x) 1)) (/ (- x y) (+ x y)) (pow (/ x y) 3) (/ x y) (* (/ (+ (* (/ -2 y) x) 2) y) x))
3.0ms
y
@-inf
((/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (+ (* 2 (pow (/ x y) 3)) (- (* (/ (+ (* (/ -2 y) x) 2) y) x) 1)) (/ (- x y) (+ x y)) (pow (/ x y) 3) (/ x y) (* (/ (+ (* (/ -2 y) x) 2) y) x))
3.0ms
y
@inf
((/ (- x y) (+ x y)) (+ (* (/ -2 x) y) 1) (/ -2 x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (+ (* 2 (pow (/ x y) 3)) (- (* (/ (+ (* (/ -2 y) x) 2) y) x) 1)) (/ (- x y) (+ x y)) (pow (/ x y) 3) (/ x y) (* (/ (+ (* (/ -2 y) x) 2) y) x))

simplify214.0ms (7.6%)

Memory
-2.1MiB live, 186.6MiB allocated; 27ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239796
1761761
22706684
08814658
Stop Event
1×iter limit
1×node limit
Counts
61 → 59
Calls
Call 1
Inputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* -2 (/ y x))
(/ (+ x (* -2 y)) x)
(/ -2 x)
(* -1 y)
(- x y)
y
(+ x y)
(/ (pow x 3) (pow y 3))
(/ x y)
(* 2 (/ x y))
(* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(+ 1 (* -2 (/ y x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(* 2 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (- (* 2 (/ 1 (pow y 3))) (* 2 (/ 1 (* x (pow y 2))))))
(* (pow x 3) (- (+ (* 2 (/ 1 (pow y 3))) (/ 2 (* (pow x 2) y))) (/ 2 (* x (pow y 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 (pow y 3)))) (+ (/ 1 (pow x 3)) (/ 2 (* x (pow y 2))))))
(* -2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* (pow x 3) (- (* 2 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 (pow y 3))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 (pow y 3))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 (pow y 3))))))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+ x (* -1 y))
(/ (+ (* -2 (* (pow x 2) y)) (* 2 (pow x 3))) (pow y 3))
(/ (+ (* 2 (pow x 3)) (* y (+ (* -2 (pow x 2)) (* 2 (* x y))))) (pow y 3))
(/ (+ (* 2 (pow x 3)) (* y (+ (* -2 (pow x 2)) (* y (+ (* -1 y) (* 2 x)))))) (pow y 3))
(/ (+ (* -2 (pow x 2)) (* 2 (* x y))) (pow y 2))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* y (- (/ 1 y) (* 2 (/ 1 x))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1)
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (* 2 (/ (pow x 3) (pow y 3))))) 1)
(/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(- (* -1 (/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y)) 1)
(- (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (* 2 (/ (pow x 3) y))) y))) y)) 1)
(* -1 (/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(-.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(* -2 (/ y x))
(*.f64 (/.f64 y x) #s(literal -2 binary64))
(/ (+ x (* -2 y)) x)
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
y
(+ x y)
(+.f64 y x)
(/ (pow x 3) (pow y 3))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(/ x y)
(/.f64 x y)
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x)
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (/.f64 (*.f64 y y) x) y)) x)) x) #s(literal 1 binary64))
(+ 1 (* -2 (/ y x)))
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* 2 (/ (pow x 3) (pow y 3)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64))
(* (pow x 3) (- (* 2 (/ 1 (pow y 3))) (* 2 (/ 1 (* x (pow y 2))))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* 2 (/ 1 (pow y 3))) (/ 2 (* (pow x 2) y))) (/ 2 (* x (pow y 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* 2 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 (pow y 3)))) (+ (/ 1 (pow x 3)) (/ 2 (* x (pow y 2))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)) x) x)) (pow.f64 x #s(literal 3 binary64)))
(* -2 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal -2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 (/.f64 #s(literal 2 binary64) y) y)) (*.f64 x x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (/.f64 (*.f64 y y) x) y)) x)) x) #s(literal 1 binary64))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* 2 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 (pow y 3))))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) x) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 (pow y 3))))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 y x)) (/.f64 (/.f64 #s(literal 2 binary64) y) y)) x) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 (pow y 3))))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 2 binary64) y)) x) (/.f64 (/.f64 #s(literal 2 binary64) y) y)) x) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -2 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
(+ x (* -1 y))
(-.f64 x y)
(/ (+ (* -2 (* (pow x 2) y)) (* 2 (pow x 3))) (pow y 3))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (-.f64 y x)) (pow.f64 y #s(literal 3 binary64)))
(/ (+ (* 2 (pow x 3)) (* y (+ (* -2 (pow x 2)) (* 2 (* x y))))) (pow y 3))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 x y)) y (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/ (+ (* 2 (pow x 3)) (* y (+ (* -2 (pow x 2)) (* y (+ (* -1 y) (* 2 x)))))) (pow y 3))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 x y) (*.f64 (neg.f64 y) y)) y (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/ (+ (* -2 (pow x 2)) (* 2 (* x y))) (pow y 2))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 x y)) (*.f64 y y))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(-.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(* y (- (/ 1 y) (* 2 (/ 1 x))))
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (* 2 (/ (pow x 3) (pow y 3))))) 1)
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y)
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(-.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(- (* -1 (/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y)) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (* 2 (/ (pow x 3) y))) y))) y)) 1)
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(* -1 (/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x)

rewrite185.0ms (6.5%)

Memory
5.3MiB live, 279.6MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028126
044126
1158126
21096126
08230126
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 308
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) x)
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(+.f64 x y)
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x)
Outputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y) x) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y) x)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) (*.f64 (/.f64 #s(literal 2 binary64) y) x))) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y) x) (*.f64 (/.f64 #s(literal 2 binary64) y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)) (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y))) (*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) (*.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)) (*.f64 x (/.f64 #s(literal 2 binary64) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y) x) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y) x) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y) x) (*.f64 (/.f64 #s(literal 2 binary64) y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)) (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) (*.f64 x (/.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)) (*.f64 x (/.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64))) x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) x))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64))) x) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) x) #s(literal 1 binary64)) y)
(/.f64 (*.f64 x (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) x)) (neg.f64 y))
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y) x (*.f64 (/.f64 #s(literal 2 binary64) y) x))
(fma.f64 x (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y) x) (*.f64 (/.f64 #s(literal 2 binary64) y) x))
(+.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)) (*.f64 x (/.f64 #s(literal 2 binary64) y)))

eval46.0ms (1.6%)

Memory
-0.7MiB live, 98.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 16 846 to 1 506 computations (91.1% saved)

prune8.0ms (0.3%)

Memory
-21.3MiB live, 25.8MiB allocated; 1ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3490349
Fresh000
Picked055
Done011
Total3496355
Accuracy
100.0%
Counts
355 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 x y) (+.f64 x y))
✓47.1%
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓55.4%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
✓46.1%
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))))
✓54.4%
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓46.0%
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Compiler

Compiled 152 to 84 computations (44.7% saved)

regimes7.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (-.f64 x y) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) y) x) #s(literal 1 binary64))))
Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 x y) (+.f64 x y))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.2%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
Outputs
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
y
2.0ms
x
1.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
99.2%2(/.f64 (-.f64 x y) (+.f64 x y))
83.2%3x
75.4%3y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes1.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
Outputs
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
98.9%2(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
Outputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
98.8%2(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Outputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
46.0%1y
46.0%1x
46.0%1(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.753389030300691
0.9941058726460634
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.753389030300691
0.9941058726460634
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch27.0ms (1%)

Memory
-30.1MiB live, 16.9MiB allocated; 3ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
26.0ms
-0.753389030300691
0.9941058726460634
Samples
5.0ms240×0valid
Compiler

Compiled 280 to 250 computations (10.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.4%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026107
136107
237107
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

derivations362.0ms (12.8%)

Memory
-13.4MiB live, 309.6MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142402
1446385
21448315
36498315
08389287
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 107 to 26 computations (75.7% saved)

preprocess57.0ms (2%)

Memory
36.0MiB live, 116.1MiB allocated; 39ms collecting garbage
Compiler

Compiled 250 to 74 computations (70.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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