Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H

Time bar (total: 2.5s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample668.0ms (26.5%)

Memory
-21.3MiB live, 730.5MiB allocated; 124ms collecting garbage
Samples
439.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 202.0ms
ival-sub: 118.0ms (58.4% of total)
ival-mult: 69.0ms (34.2% of total)
ival-true: 5.0ms (2.5% of total)
exact: 5.0ms (2.5% of total)
ival-assert: 3.0ms (1.5% of total)
adjust: 2.0ms (1% of total)
Bogosity

explain79.0ms (3.1%)

Memory
-13.0MiB live, 94.2MiB allocated; 36ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(*.f64 x (-.f64 #s(literal 1 binary64) y))
00-0-y
00-0-#s(literal 1 binary64)
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
19.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (41.5% of total)
ival-mult: 3.0ms (41.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess204.0ms (8.1%)

Memory
30.3MiB live, 267.9MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01434
12834
23734
36134
415431
566530
6593130
055
075
1105
2135
3235
4625
53025
627555
766815
082655
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
Symmetry

(negabs x)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 5 to 5 computations (0% saved)

series4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
5 → 13
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
Outputs
#s(approx (* x (- 1 y)) #s(hole binary64 (* x (- 1 y))))
#s(approx x #s(hole binary64 x))
#s(approx (* x (- 1 y)) #s(hole binary64 x))
#s(approx (* x (- 1 y)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (- 1 y) #s(hole binary64 1))
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (* x (- 1 y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (* x (- 1 y)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (- 1 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1))))
#s(approx (* x (- 1 y)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((* x (- 1 y)) x (- 1 y) 1 y)
1.0ms
x
@-inf
((* x (- 1 y)) x (- 1 y) 1 y)
1.0ms
y
@0
((* x (- 1 y)) x (- 1 y) 1 y)
1.0ms
y
@-inf
((* x (- 1 y)) x (- 1 y) 1 y)
1.0ms
x
@0
((* x (- 1 y)) x (- 1 y) 1 y)

simplify117.0ms (4.6%)

Memory
-0.6MiB live, 92.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038102
18499
217899
344799
4203799
5561899
0801199
Stop Event
iter limit
node limit
Counts
13 → 13
Calls
Call 1
Inputs
#s(approx (* x (- 1 y)) #s(hole binary64 (* x (- 1 y))))
#s(approx x #s(hole binary64 x))
#s(approx (* x (- 1 y)) #s(hole binary64 x))
#s(approx (* x (- 1 y)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (- 1 y) #s(hole binary64 1))
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (* x (- 1 y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (* x (- 1 y)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (- 1 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1))))
#s(approx (* x (- 1 y)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y))))))
Outputs
#s(approx (* x (- 1 y)) #s(hole binary64 (* x (- 1 y))))
#s(approx (* x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (* x (- 1 y)) #s(hole binary64 x))
#s(approx (* x (- 1 y)) x)
#s(approx (* x (- 1 y)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (* x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (- 1 y) #s(hole binary64 1))
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (- 1 y) (-.f64 #s(literal 1 binary64) y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (* x (- 1 y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (* x (- 1 y)) (*.f64 (neg.f64 x) y))
#s(approx (* x (- 1 y)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (* x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (- 1 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1 y) (neg.f64 y))
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1))))
#s(approx (- 1 y) (-.f64 #s(literal 1 binary64) y))
#s(approx (* x (- 1 y)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (* x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y))))))
#s(approx (- 1 y) (-.f64 #s(literal 1 binary64) y))

rewrite237.0ms (9.4%)

Memory
-26.7MiB live, 70.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
12411
014811
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
5 → 16
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
x
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y

eval2.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 236 to 62 computations (73.7% saved)

prune2.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New20424
Fresh000
Picked011
Done000
Total20525
Accuracy
100.0%
Counts
25 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
85.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (+.f64 y #s(literal 1 binary64)))
100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
52.1%
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
49.5%
#s(approx (* x (- 1 y)) x)
Compiler

Compiled 45 to 36 computations (20% saved)

series55.0ms (2.2%)

Memory
0.3MiB live, 41.7MiB allocated; 7ms collecting garbage
Counts
19 → 68
Calls
Call 1
Inputs
#s(approx (* x (- 1 y)) x)
x
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (+.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(-.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
(+.f64 y #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (fma.f64 y y y) #s(literal 1 binary64))
(fma.f64 y y y)
Outputs
#s(approx (* x (- 1 y)) #s(hole binary64 (* x (- 1 y))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (/ (* x (- 1 (pow y 2))) (+ 1 y))))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 (* x (- 1 (pow y 2)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (* x (- 1 (pow y 3)))))
#s(approx (* x (- 1 y)) #s(hole binary64 x))
#s(approx (* x (- 1 y)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (- 1 y) #s(hole binary64 1))
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 2))))))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ y 1) #s(hole binary64 1))
#s(approx (+ y 1) #s(hole binary64 (+ 1 y)))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 x))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 3))))))
#s(approx (- 1 (pow y 3)) #s(hole binary64 1))
#s(approx (- 1 (pow y 3)) #s(hole binary64 (+ 1 (* -1 (pow y 3)))))
#s(approx (pow y 3) #s(hole binary64 (pow y 3)))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 1))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (+ 1 y)))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (+ 1 (* y (+ 1 y)))))
#s(approx (+ (* y y) y) #s(hole binary64 y))
#s(approx (+ (* y y) y) #s(hole binary64 (* y (+ 1 y))))
#s(approx (* x (- 1 y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (* x (- 1 y)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (- 1 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1))))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x (pow y 2))))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))
#s(approx (+ y 1) #s(hole binary64 y))
#s(approx (+ y 1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (* -1 (* x (pow y 3)))))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (* (pow y 3) (+ (* -1 x) (/ x (pow y 3))))))
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (pow y 3))))
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* (pow y 3) (- (/ 1 (pow y 3)) 1))))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 y)))))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))
#s(approx (+ (* y y) y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) y) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 y)))))
#s(approx (* x (- 1 y)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y))))))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ x y)) (/ x y)) (* -1 x)) y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x (+ (* -1 x) (* 2 x))) y)) (+ x (* -1 x))) y)) (* -1 x)) y)))))))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (* -1 (* (pow y 3) (+ x (* -1 (/ x (pow y 3))))))))
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (* (pow y 3) (- 1 (/ 1 (pow y 3)))))))
Calls

6 calls:

TimeVariablePointExpression
39.0ms
y
@0
((* x (- 1 y)) x (* x (- 1 y)) (- 1 y) (neg y) y (/ (* (- 1 (* y y)) x) (+ y 1)) (* (- 1 (* y y)) x) (- 1 (* y y)) 1 (* y y) (+ y 1) (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) x) (- 1 (pow y 3)) (pow y 3) 3 (+ (+ (* y y) y) 1) (+ (* y y) y))
3.0ms
x
@0
((* x (- 1 y)) x (* x (- 1 y)) (- 1 y) (neg y) y (/ (* (- 1 (* y y)) x) (+ y 1)) (* (- 1 (* y y)) x) (- 1 (* y y)) 1 (* y y) (+ y 1) (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) x) (- 1 (pow y 3)) (pow y 3) 3 (+ (+ (* y y) y) 1) (+ (* y y) y))
3.0ms
x
@-inf
((* x (- 1 y)) x (* x (- 1 y)) (- 1 y) (neg y) y (/ (* (- 1 (* y y)) x) (+ y 1)) (* (- 1 (* y y)) x) (- 1 (* y y)) 1 (* y y) (+ y 1) (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) x) (- 1 (pow y 3)) (pow y 3) 3 (+ (+ (* y y) y) 1) (+ (* y y) y))
3.0ms
y
@-inf
((* x (- 1 y)) x (* x (- 1 y)) (- 1 y) (neg y) y (/ (* (- 1 (* y y)) x) (+ y 1)) (* (- 1 (* y y)) x) (- 1 (* y y)) 1 (* y y) (+ y 1) (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) x) (- 1 (pow y 3)) (pow y 3) 3 (+ (+ (* y y) y) 1) (+ (* y y) y))
3.0ms
y
@inf
((* x (- 1 y)) x (* x (- 1 y)) (- 1 y) (neg y) y (/ (* (- 1 (* y y)) x) (+ y 1)) (* (- 1 (* y y)) x) (- 1 (* y y)) 1 (* y y) (+ y 1) (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) x) (- 1 (pow y 3)) (pow y 3) 3 (+ (+ (* y y) y) 1) (+ (* y y) y))

simplify435.0ms (17.3%)

Memory
18.5MiB live, 306.5MiB allocated; 176ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197935
1510910
21680910
08496882
Stop Event
iter limit
node limit
Counts
68 → 68
Calls
Call 1
Inputs
#s(approx (* x (- 1 y)) #s(hole binary64 (* x (- 1 y))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (/ (* x (- 1 (pow y 2))) (+ 1 y))))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 (* x (- 1 (pow y 2)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (* x (- 1 (pow y 3)))))
#s(approx (* x (- 1 y)) #s(hole binary64 x))
#s(approx (* x (- 1 y)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (- 1 y) #s(hole binary64 1))
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 2))))))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ y 1) #s(hole binary64 1))
#s(approx (+ y 1) #s(hole binary64 (+ 1 y)))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 x))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 3))))))
#s(approx (- 1 (pow y 3)) #s(hole binary64 1))
#s(approx (- 1 (pow y 3)) #s(hole binary64 (+ 1 (* -1 (pow y 3)))))
#s(approx (pow y 3) #s(hole binary64 (pow y 3)))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 1))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (+ 1 y)))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (+ 1 (* y (+ 1 y)))))
#s(approx (+ (* y y) y) #s(hole binary64 y))
#s(approx (+ (* y y) y) #s(hole binary64 (* y (+ 1 y))))
#s(approx (* x (- 1 y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (* x (- 1 y)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (- 1 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1))))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x (pow y 2))))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))
#s(approx (+ y 1) #s(hole binary64 y))
#s(approx (+ y 1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (* -1 (* x (pow y 3)))))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (* (pow y 3) (+ (* -1 x) (/ x (pow y 3))))))
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (pow y 3))))
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* (pow y 3) (- (/ 1 (pow y 3)) 1))))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 y)))))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))
#s(approx (+ (* y y) y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) y) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 y)))))
#s(approx (* x (- 1 y)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y))))))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ x y)) (/ x y)) (* -1 x)) y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x (+ (* -1 x) (* 2 x))) y)) (+ x (* -1 x))) y)) (* -1 x)) y)))))))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (* -1 (* (pow y 3) (+ x (* -1 (/ x (pow y 3))))))))
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (* (pow y 3) (- 1 (/ 1 (pow y 3)))))))
Outputs
#s(approx (* x (- 1 y)) #s(hole binary64 (* x (- 1 y))))
#s(approx (* x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (/ (* x (- 1 (pow y 2))) (+ 1 y))))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 (* x (- 1 (pow y 2)))))
#s(approx (* (- 1 (* y y)) x) (*.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (/.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (* x (- 1 (pow y 3)))))
#s(approx (* (- 1 (pow y 3)) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x))
#s(approx (* x (- 1 y)) #s(hole binary64 x))
#s(approx (* x (- 1 y)) x)
#s(approx (* x (- 1 y)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (* x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (- 1 y) #s(hole binary64 1))
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (- 1 y) (-.f64 #s(literal 1 binary64) y))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (neg y) (neg.f64 y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) x)
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* y y)) x) x)
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 2))))))
#s(approx (* (- 1 (* y y)) x) (*.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(literal 1 binary64))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (- 1 (* y y)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* y y) (*.f64 y y))
#s(approx (+ y 1) #s(hole binary64 1))
#s(approx (+ y 1) #s(literal 1 binary64))
#s(approx (+ y 1) #s(hole binary64 (+ 1 y)))
#s(approx (+ y 1) (-.f64 y #s(literal -1 binary64)))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) x)
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 x))
#s(approx (* (- 1 (pow y 3)) x) x)
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 3))))))
#s(approx (* (- 1 (pow y 3)) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x))
#s(approx (- 1 (pow y 3)) #s(hole binary64 1))
#s(approx (- 1 (pow y 3)) #s(literal 1 binary64))
#s(approx (- 1 (pow y 3)) #s(hole binary64 (+ 1 (* -1 (pow y 3)))))
#s(approx (- 1 (pow y 3)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
#s(approx (pow y 3) #s(hole binary64 (pow y 3)))
#s(approx (pow y 3) (pow.f64 y #s(literal 3 binary64)))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 1))
#s(approx (+ (+ (* y y) y) 1) #s(literal 1 binary64))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (+ 1 y)))
#s(approx (+ (+ (* y y) y) 1) (-.f64 y #s(literal -1 binary64)))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (+ 1 (* y (+ 1 y)))))
#s(approx (+ (+ (* y y) y) 1) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
#s(approx (+ (* y y) y) #s(hole binary64 y))
#s(approx (+ (* y y) y) y)
#s(approx (+ (* y y) y) #s(hole binary64 (* y (+ 1 y))))
#s(approx (+ (* y y) y) (fma.f64 y y y))
#s(approx (* x (- 1 y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (* x (- 1 y)) (*.f64 (neg.f64 x) y))
#s(approx (* x (- 1 y)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (* x (- 1 y)) (*.f64 (-.f64 (/.f64 x y) x) y))
#s(approx (- 1 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1 y) (neg.f64 y))
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1))))
#s(approx (- 1 y) (-.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) (*.f64 (neg.f64 x) y))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (- 1 (* y y)) x) (*.f64 (neg.f64 x) (*.f64 y y)))
#s(approx (* (- 1 (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x (pow y 2))))))
#s(approx (* (- 1 (* y y)) x) (*.f64 (-.f64 (/.f64 (/.f64 x y) y) x) (*.f64 y y)))
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))
#s(approx (- 1 (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) y) y))
#s(approx (+ y 1) #s(hole binary64 y))
#s(approx (+ y 1) y)
#s(approx (+ y 1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (+ y 1) (-.f64 y #s(literal -1 binary64)))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (neg.f64 x) y))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (* -1 (* x (pow y 3)))))
#s(approx (* (- 1 (pow y 3)) x) (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (* (pow y 3) (+ (* -1 x) (/ x (pow y 3))))))
#s(approx (* (- 1 (pow y 3)) x) (*.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 y #s(literal 3 binary64))))
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (pow y 3))))
#s(approx (- 1 (pow y 3)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* (pow y 3) (- (/ 1 (pow y 3)) 1))))
#s(approx (- 1 (pow y 3)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* y y) y) 1) (*.f64 y y))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 y)))))
#s(approx (+ (+ (* y y) y) 1) (fma.f64 y y y))
#s(approx (+ (+ (* y y) y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))
#s(approx (+ (+ (* y y) y) 1) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
#s(approx (+ (* y y) y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) y) (*.f64 y y))
#s(approx (+ (* y y) y) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 y)))))
#s(approx (+ (* y y) y) (fma.f64 y y y))
#s(approx (* x (- 1 y)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (* x (- 1 y)) (*.f64 (-.f64 (/.f64 x y) x) y))
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y))))))
#s(approx (- 1 y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (/ (* (- 1 (* y y)) x) (+ y 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ x y)) (/ x y)) (* -1 x)) y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x (+ (* -1 x) (* 2 x))) y)) (+ x (* -1 x))) y)) (* -1 x)) y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
#s(approx (* (- 1 (pow y 3)) x) #s(hole binary64 (* -1 (* (pow y 3) (+ x (* -1 (/ x (pow y 3))))))))
#s(approx (* (- 1 (pow y 3)) x) (*.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 y #s(literal 3 binary64))))
#s(approx (- 1 (pow y 3)) #s(hole binary64 (* -1 (* (pow y 3) (- 1 (/ 1 (pow y 3)))))))
#s(approx (- 1 (pow y 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))

rewrite70.0ms (2.8%)

Memory
-17.5MiB live, 83.3MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02195
03492
112580
097180
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
19 → 231
Calls
Call 1
Inputs
#s(approx (* x (- 1 y)) x)
x
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (+.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(-.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
(+.f64 y #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (fma.f64 y y y) #s(literal 1 binary64))
(fma.f64 y y y)
Outputs
#s(approx (* x (- 1 y)) x)
x
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (/.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))
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(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (-.f64 y #s(literal -1 binary64)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 y #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (-.f64 y #s(literal -1 binary64)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (-.f64 y #s(literal -1 binary64)))
(fma.f64 (fma.f64 y y y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 y) (-.f64 y #s(literal -1 binary64)))
(fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 y y (-.f64 y #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (-.f64 y #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal -1 binary64))))
(-.f64 (fma.f64 y y y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) y))
(+.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y))))
(+.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(+.f64 (fma.f64 y y y) #s(literal 1 binary64))
(+.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 y y))
(+.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))
(+.f64 y (fma.f64 y y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 y y y))
(*.f64 (fma.f64 y y y) #s(literal 1 binary64))
(*.f64 (-.f64 y #s(literal -1 binary64)) y)
(*.f64 y (-.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y y y))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (*.f64 y y) y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) (-.f64 y (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y y) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)) (-.f64 (*.f64 y y) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)) y)
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y) y)
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)) y)
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) y)
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) y)
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) y)
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) y)
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) y)
(fma.f64 (fabs.f64 y) (fabs.f64 y) y)
(fma.f64 (*.f64 y y) #s(literal 1 binary64) y)
(fma.f64 (neg.f64 y) (neg.f64 y) y)
(fma.f64 y y y)
(fma.f64 #s(literal 1 binary64) (*.f64 y y) y)
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) y)))
(-.f64 (*.f64 y y) (*.f64 #s(literal -1 binary64) y))
(-.f64 y (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(-.f64 y (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(-.f64 y (*.f64 (neg.f64 y) y))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 y (-.f64 y (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (*.f64 y y) y)
(+.f64 y (*.f64 y y))

eval34.0ms (1.3%)

Memory
-10.5MiB live, 86.1MiB allocated; 11ms collecting garbage
Compiler

Compiled 4 728 to 842 computations (82.2% saved)

prune6.0ms (0.2%)

Memory
26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2741275
Fresh000
Picked224
Done011
Total2764280
Accuracy
100.0%
Counts
280 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
52.1%
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
88.2%
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
49.5%
#s(approx (* x (- 1 y)) x)
Compiler

Compiled 43 to 33 computations (23.3% saved)

series11.0ms (0.4%)

Memory
-18.6MiB live, 28.4MiB allocated; 3ms collecting garbage
Counts
6 → 28
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
(*.f64 (-.f64 (/.f64 x y) x) y)
(-.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
Outputs
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* x (* y (- (/ 1 y) 1)))))
#s(approx (- (/ x y) x) #s(hole binary64 (* x (- (/ 1 y) 1))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* -1 (* x (* y (- 1 (/ 1 y)))))))
#s(approx (- (/ x y) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 y))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 x))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (- (/ x y) x) #s(hole binary64 (/ x y)))
#s(approx (- (/ x y) x) #s(hole binary64 (/ (+ x (* -1 (* x y))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (- (/ x y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ x y) x) #s(hole binary64 (- (/ x y) x)))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ x y)) (/ x y)) (* -1 x)) y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x (+ (* -1 x) (* 2 x))) y)) (+ x (* -1 x))) y)) (* -1 x)) y)))))))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (* (- (/ x y) x) y) (- (/ x y) x) (/ x y) x y)
2.0ms
x
@-inf
((/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (* (- (/ x y) x) y) (- (/ x y) x) (/ x y) x y)
2.0ms
x
@0
((/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (* (- (/ x y) x) y) (- (/ x y) x) (/ x y) x y)
1.0ms
y
@-inf
((/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (* (- (/ x y) x) y) (- (/ x y) x) (/ x y) x y)
1.0ms
y
@inf
((/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (* (- (/ x y) x) y) (- (/ x y) x) (/ x y) x y)

simplify296.0ms (11.7%)

Memory
15.1MiB live, 244.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118454
1328445
21153403
37574403
08559390
Stop Event
iter limit
node limit
Counts
28 → 28
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* x (* y (- (/ 1 y) 1)))))
#s(approx (- (/ x y) x) #s(hole binary64 (* x (- (/ 1 y) 1))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* -1 (* x (* y (- 1 (/ 1 y)))))))
#s(approx (- (/ x y) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 y))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 x))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (- (/ x y) x) #s(hole binary64 (/ x y)))
#s(approx (- (/ x y) x) #s(hole binary64 (/ (+ x (* -1 (* x y))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (- (/ x y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ x y) x) #s(hole binary64 (- (/ x y) x)))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ x y)) (/ x y)) (* -1 x)) y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x (+ (* -1 x) (* 2 x))) y)) (+ x (* -1 x))) y)) (* -1 x)) y)))))))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
Outputs
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* x (* y (- (/ 1 y) 1)))))
#s(approx (* (- (/ x y) x) y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (- (/ x y) x) #s(hole binary64 (* x (- (/ 1 y) 1))))
#s(approx (- (/ x y) x) (-.f64 (/.f64 x y) x))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* -1 (* x (* y (- 1 (/ 1 y)))))))
#s(approx (* (- (/ x y) x) y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (- (/ x y) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 y))))))
#s(approx (- (/ x y) x) (-.f64 (/.f64 x y) x))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) x)
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (+ x (* y (- (* y (- (* y (+ x (* -1 x))) (+ x (* -1 x)))) x)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 x))
#s(approx (* (- (/ x y) x) y) x)
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (* (- (/ x y) x) y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (- (/ x y) x) #s(hole binary64 (/ x y)))
#s(approx (- (/ x y) x) (/.f64 x y))
#s(approx (- (/ x y) x) #s(hole binary64 (/ (+ x (* -1 (* x y))) y)))
#s(approx (- (/ x y) x) (-.f64 (/.f64 x y) x))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (neg.f64 y) x))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* y (- (+ (* -1 x) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- (/ x y) x) y) (*.f64 (neg.f64 y) x))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (* (- (/ x y) x) y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (- (/ x y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ x y) x) (neg.f64 x))
#s(approx (- (/ x y) x) #s(hole binary64 (- (/ x y) x)))
#s(approx (- (/ x y) x) (-.f64 (/.f64 x y) x))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ x y)) (/ x y)) (* -1 x)) y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x (+ (* -1 x) (* 2 x))) y)) (+ x (* -1 x))) y)) (* -1 x)) y)))))))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (* (- (/ x y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))
#s(approx (* (- (/ x y) x) y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))

rewrite52.0ms (2.1%)

Memory
20.1MiB live, 65.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01540
01840
19340
078339
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
6 → 21
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
(*.f64 (-.f64 (/.f64 x y) x) y)
(-.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
Outputs
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
(*.f64 (-.f64 (/.f64 x y) x) y)
(*.f64 y (-.f64 (/.f64 x y) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) y) (+.f64 (/.f64 x y) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 (/.f64 x y) x) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 x x))) (+.f64 (/.f64 x y) x))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (/.f64 x y) x) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 x y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 (/.f64 x y) x) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 x y) x))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 (/.f64 x y) x) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 x y) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 x (+.f64 (/.f64 x y) x) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (/.f64 x y) x) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 x y) x)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
x
y

eval9.0ms (0.3%)

Memory
-44.7MiB live, 10.2MiB allocated; 10ms collecting garbage
Compiler

Compiled 1 076 to 139 computations (87.1% saved)

prune7.0ms (0.3%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New38038
Fresh000
Picked011
Done033
Total38442
Accuracy
100.0%
Counts
42 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
52.1%
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
88.2%
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
49.5%
#s(approx (* x (- 1 y)) x)
Compiler

Compiled 111 to 69 computations (37.8% saved)

regimes9.0ms (0.4%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* x (- 1 y)) x)
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 (pow y 3)) x) (+ (+ (* y y) y) 1)) (*.f64 (-.f64 (/.f64 x y) x) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Calls

4 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) y))
2.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
100.0%1(-.f64 #s(literal 1 binary64) y)
100.0%1(*.f64 x (-.f64 #s(literal 1 binary64) y))
100.0%1x
100.0%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes8.0ms (0.3%)

Memory
-29.3MiB live, 16.7MiB allocated; 4ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* x (- 1 y)) x)
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
Outputs
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
#s(approx (* x (- 1 y)) x)
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
Calls

4 calls:

4.0ms
y
2.0ms
x
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) y))
1.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
97.2%3(-.f64 #s(literal 1 binary64) y)
82.5%3(*.f64 x (-.f64 #s(literal 1 binary64) y))
56.0%2x
97.2%3y
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes4.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* x (- 1 y)) x)
Outputs
#s(approx (* x (- 1 y)) x)
Calls

4 calls:

1.0ms
x
1.0ms
y
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) y))
1.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
49.5%1x
49.5%1(*.f64 x (-.f64 #s(literal 1 binary64) y))
49.5%1(-.f64 #s(literal 1 binary64) y)
49.5%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch22.0ms (0.9%)

Memory
1.6MiB live, 47.9MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.30186931235572484
4104285.5632072533
8.0ms
-18.348798341922777
-0.13957922443561804
Samples
11.0ms256×0valid
Compiler

Compiled 248 to 250 computations (-0.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (55.9% of total)
ival-sub: 1.0ms (27.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify76.0ms (3%)

Memory
-9.9MiB live, 86.5MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01636
12636
23036
34036
47236
529236
6274636
7769736
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* x (- 1 y)) x) (*.f64 x #s(approx (- 1 y) (neg.f64 y)))))
#s(approx (* x (- 1 y)) x)
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* x (- 1 y)) x) (*.f64 x #s(approx (- 1 y) (neg.f64 y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(approx (* x (- 1 y)) x))
#s(approx (* x (- 1 y)) x)

derivations84.0ms (3.3%)

Memory
-4.3MiB live, 78.8MiB allocated; 24ms collecting garbage
Stop Event
done
Compiler

Compiled 36 to 18 computations (50% saved)

preprocess31.0ms (1.2%)

Memory
37.3MiB live, 81.3MiB allocated; 15ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 102 to 66 computations (35.3% saved)

end0.0ms (0%)

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

Profiling

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