Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample597.0ms (32.4%)

Memory

-31.0MiB live, 497.3MiB allocated; 197ms collecting garbage

Samples

368.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-mult!: 126.0ms (85.5% of total)

ival-sub!: 19.0ms (12.9% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

preprocess20.0ms (1.1%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	73
1	71	70
2	169	70
3	427	70
4	625	70

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Symmetry

(sort x y)

Compiler

Compiled 14 to 14 computations (0% saved)

series86.0ms (4.7%)

Memory

-16.9MiB live, 28.4MiB allocated; 19ms collecting garbage

Counts

7 → 14

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z

Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- (* (* x 3) y) z) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))
#s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (* x 3) (*.f64 #s(literal 3 binary64) x))
#s(approx x x)
#s(approx (- (* (* x 3) y) z) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (.f64 #s(literal 3 binary64) y))))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))))
#s(approx y y)
#s(approx (- (* (* x 3) y) z) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (.f64 #s(literal 3 binary64) x))))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -3 binary64) x (/.f64 z y)))))
#s(approx (- (* (* x 3) y) z) (fma.f64 #s(literal -1 binary64) z (.f64 #s(literal 3 binary64) (.f64 x y))))
#s(approx z z)
#s(approx (- (* (* x 3) y) z) (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z))))))

Calls

9 calls:

Time	Variable	Point
1.0ms	y	inf
1.0ms	x	inf
1.0ms	x	0
1.0ms	x	-inf
1.0ms	y	-inf

rewrite173.0ms (9.4%)

Memory

6.1MiB live, 52.3MiB allocated; 6ms collecting garbage

Counts

7 → 15

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z

Outputs
(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) (neg.f64 z))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (neg.f64 z))
(neg.f64 (-.f64 z (.f64 (.f64 x #s(literal 3 binary64)) y)))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
z

eval2.0ms (0.1%)

Memory: 3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 263 to 76 computations (71.1% saved)

prune2.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Accuracy

100.0%

Counts

23 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	99.9%	(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
▶	99.8%	(-.f64 #s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
▶	92.8%	#s(approx (- (* (* x 3) y) z) (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
▶	50.6%	#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))

Compiler

Compiled 57 to 50 computations (12.3% saved)

series134.0ms (7.3%)

Memory

19.5MiB live, 70.8MiB allocated; 43ms collecting garbage

Counts

20 → 24

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#s(approx (- (* (* x 3) y) z) (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z))
#s(literal 3 binary64)
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
#s(literal 1 binary64)
(-.f64 #s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
#s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(.f64 x (.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)

Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- (* (* x 3) y) z) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))
#s(approx (* z (- (* 3 (/ (* x y) z)) 1)) (fma.f64 #s(literal -1 binary64) z (.f64 #s(literal 3 binary64) (.f64 x y))))
#s(approx (- (* 3 (/ (* x y) z)) 1) #s(literal -1 binary64))
#s(approx (- (* 3 (/ (* x y) z)) 1) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64)))
#s(approx (* 3 (/ (* x y) z)) (.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z)))
#s(approx (/ (* x y) z) (/.f64 (*.f64 x y) z))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (- (* (* x 3) y) z) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (.f64 #s(literal 3 binary64) y))))
#s(approx (- (* 3 (/ (* x y) z)) 1) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))))
#s(approx (- (* 3 (/ (* x y) z)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -3 binary64) (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))))
#s(approx y y)
#s(approx (* 3 y) (*.f64 #s(literal 3 binary64) y))
#s(approx (- (* (* x 3) y) z) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (.f64 #s(literal 3 binary64) x))))
#s(approx (- (* 3 (/ (* x y) z)) 1) (.f64 y (-.f64 (.f64 #s(literal 3 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -3 binary64) x (/.f64 z y)))))
#s(approx (- (* 3 (/ (* x y) z)) 1) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -3 binary64) (/.f64 x z) (/.f64 #s(literal 1 binary64) y)))))
#s(approx z z)
#s(approx (- (* 3 (/ (* x y) z)) 1) (/.f64 (fma.f64 #s(literal -1 binary64) z (.f64 #s(literal 3 binary64) (.f64 x y))) z))
#s(approx (- (* (* x 3) y) z) (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z))))))

Calls

9 calls:

Time	Variable	Point
3.0ms	y	0
2.0ms	y	-inf
2.0ms	z	-inf
2.0ms	x	-inf
2.0ms	y	inf

rewrite151.0ms (8.2%)

Memory

-24.6MiB live, 63.9MiB allocated; 32ms collecting garbage

Counts

20 → 55

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#s(approx (- (* (* x 3) y) z) (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z))
#s(literal 3 binary64)
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
#s(literal 1 binary64)
(-.f64 #s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
#s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(.f64 x (.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)

Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(neg.f64 z)
#s(literal -1 binary64)
(neg.f64 #s(literal 1 binary64))
z
#s(approx (- (* (* x 3) y) z) (.f64 z (fma.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64) #s(literal -1 binary64))))
(.f64 z (fma.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(+.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))
(.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
#s(literal 3 binary64)
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(-.f64 #s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
#s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 y (.f64 x #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (neg.f64 z))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(neg.f64 (-.f64 z (.f64 #s(literal 3 binary64) (.f64 x y))))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 y (.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))

eval6.0ms (0.3%)

Memory: 9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 094 to 239 computations (78.2% saved)

prune4.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	65	5	70

Accuracy

100.0%

Counts

70 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	99.9%	(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
✓	99.8%	(-.f64 #s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
▶	50.6%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 44 to 41 computations (6.8% saved)

series105.0ms (5.7%)

Memory

-25.3MiB live, 20.8MiB allocated; 12ms collecting garbage

Counts

8 → 14

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(*.f64 x y)
x
y
#s(literal 3 binary64)

Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- (* (* x 3) y) z) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (- (* (* x 3) y) z) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (.f64 #s(literal 3 binary64) y))))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))))
#s(approx y y)
#s(approx (- (* (* x 3) y) z) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (.f64 #s(literal 3 binary64) x))))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -3 binary64) x (/.f64 z y)))))
#s(approx (- (* (* x 3) y) z) (fma.f64 #s(literal -1 binary64) z (.f64 #s(literal 3 binary64) (.f64 x y))))
#s(approx z z)
#s(approx (- (* (* x 3) y) z) (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z))))))

Calls

9 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	y	-inf
0.0ms	x	inf
0.0ms	z	-inf
0.0ms	y	inf

rewrite181.0ms (9.8%)

Memory

1.9MiB live, 65.2MiB allocated; 97ms collecting garbage

Counts

8 → 15

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(*.f64 x y)
x
y
#s(literal 3 binary64)

Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(+.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) (neg.f64 z))
(+.f64 (neg.f64 z) (.f64 (.f64 x y) #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) (neg.f64 (neg.f64 z)))
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 3 binary64)

eval2.0ms (0.1%)

Memory: 4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 270 to 73 computations (73% saved)

prune2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	0	2	2
Done	1	2	3
Total	22	5	27

Accuracy

100.0%

Counts

27 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	99.9%	(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
▶	50.7%	#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
✓	50.6%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 44 to 41 computations (6.8% saved)

series85.0ms (4.6%)

Memory

-17.6MiB live, 75.7MiB allocated; 27ms collecting garbage

Counts

6 → 13

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y

Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- (* (* x 3) y) z) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))
#s(approx (* 3 (* x y)) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (- (* (* x 3) y) z) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (.f64 #s(literal 3 binary64) y))))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))))
#s(approx y y)
#s(approx (- (* (* x 3) y) z) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (.f64 #s(literal 3 binary64) x))))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -3 binary64) x (/.f64 z y)))))
#s(approx (- (* (* x 3) y) z) (fma.f64 #s(literal -1 binary64) z (.f64 #s(literal 3 binary64) (.f64 x y))))
#s(approx (- (* (* x 3) y) z) (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (.f64 x y) z))))))

Calls

9 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	y	-inf
1.0ms	x	inf
0.0ms	y	inf
0.0ms	x	0

rewrite128.0ms (6.9%)

Memory

32.6MiB live, 130.1MiB allocated; 28ms collecting garbage

Counts

6 → 11

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y

Outputs
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) y))
#s(literal 3 binary64)
(*.f64 x y)
(*.f64 y x)
x
y

eval2.0ms (0.1%)

Memory: 2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 285 to 74 computations (74% saved)

prune21.0ms (1.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	17	6	23

Accuracy

100.0%

Counts

23 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
	50.7%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
	50.7%	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
✓	50.7%	#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
✓	50.6%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 63 to 56 computations (11.1% saved)

regimes81.0ms (4.4%)

Memory

-8.0MiB live, 84.7MiB allocated; 19ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

3 → 3

4 → 3

5 → 3

6 → 1

10 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))

Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Call 2

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))

Outputs
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))

Call 3

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))

Outputs
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))

Call 4

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))

Outputs
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))

Call 5

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
(-.f64 #s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) z)

Outputs
(-.f64 #s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) z)

Call 6

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))
(-.f64 #s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 z (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))

Outputs
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)

Calls

26 calls:

16.0ms	z
4.0ms	(*.f64 x #s(literal 3 binary64))
4.0ms	(*.f64 x #s(literal 3 binary64))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
50.6%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
50.6%	1	`(*.f64 x #s(literal 3 binary64))`
50.6%	1	`x`
50.6%	1	`y`
50.6%	1	`z`
50.6%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
80.7%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
80.7%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
73.1%	3	`(*.f64 x #s(literal 3 binary64))`
80.7%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
70.0%	5	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
73.1%	3	`x`
75.3%	3	`y`
75.5%	3	`z`
99.8%	1	`(*.f64 x #s(literal 3 binary64))`
99.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.8%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.9%	1	`(*.f64 x #s(literal 3 binary64))`
99.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 195 to 153 computations (21.5% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.450936135498131e+46	2.6838407457776903e+52
0.0ms	-1.815432645427428e+38	-5.420695126106443e+30

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.450936135498131e+46	2.6838407457776903e+52
0.0ms	-1.815432645427428e+38	-5.420695126106443e+30

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.450936135498131e+46	2.6838407457776903e+52
0.0ms	-1.815432645427428e+38	-5.420695126106443e+30

Compiler

Compiled 10 to 13 computations (-30% saved)

derivations2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 186 to 32 computations (82.8% saved)

preprocess56.0ms (3%)

Memory: -24.6MiB live, 73.3MiB allocated; 13ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 565 to 221 computations (60.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample597.0ms (32.4%)

preprocess20.0ms (1.1%)

series86.0ms (4.7%)

rewrite173.0ms (9.4%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

series134.0ms (7.3%)

rewrite151.0ms (8.2%)

eval6.0ms (0.3%)

prune4.0ms (0.2%)

series105.0ms (5.7%)

rewrite181.0ms (9.8%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

series85.0ms (4.6%)

rewrite128.0ms (6.9%)

eval2.0ms (0.1%)

prune21.0ms (1.1%)

regimes81.0ms (4.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations2.0ms (0.1%)

preprocess56.0ms (3%)

end0.0ms (0%)

Profiling