Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 7 computations (22.2% saved)

sample782.0ms (31.3%)

Memory

34.2MiB live, 590.3MiB allocated; 339ms collecting garbage

Samples

454.0ms	8 253×	0	valid
2.0ms	2×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult!: 93.0ms (69.2% of total)

ival-add!: 40.0ms (29.8% of total)

adjust: 2.0ms (1.5% of total)

Bogosity

preprocess56.0ms (2.2%)

Memory

-11.5MiB live, 33.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	146	46
2	1296	44

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.5%	(+.f64 (+.f64 (*.f64 x y) x) y)

Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series108.0ms (4.3%)

Memory

17.9MiB live, 68.6MiB allocated; 25ms collecting garbage

Counts

5 → 16

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (*.f64 x y) x)
(*.f64 x y)
x
y

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

Calls

6 calls:

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

rewrite226.0ms (9.1%)

Memory

-4.0MiB live, 131.5MiB allocated; 63ms collecting garbage

Counts

5 → 14

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (*.f64 x y) x)
(*.f64 x y)
x
y

Outputs
(*.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) x y) (/.f64 (fma.f64 y x (-.f64 x y)) (fma.f64 y x (-.f64 x y))))
(.f64 (/.f64 (.f64 (fma.f64 y x (-.f64 x y)) (fma.f64 (+.f64 y #s(literal 1 binary64)) x y)) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (.f64 (.f64 y y) y))) (fma.f64 y (fma.f64 (+.f64 y #s(literal 1 binary64)) x y) (*.f64 (fma.f64 y x x) (fma.f64 y x x))))
(.f64 (/.f64 (.f64 (fma.f64 y x (-.f64 x y)) (fma.f64 (+.f64 y #s(literal 1 binary64)) x y)) (*.f64 (fma.f64 y x (-.f64 x y)) (fma.f64 (+.f64 y #s(literal 1 binary64)) x y))) (fma.f64 (+.f64 y #s(literal 1 binary64)) x y))
(.f64 (fma.f64 (fma.f64 y x x) (fma.f64 y x (-.f64 x y)) (.f64 y y)) (/.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) x y) (fma.f64 (fma.f64 y x x) (fma.f64 y x (-.f64 x y)) (*.f64 y y))))
(.f64 (/.f64 (fma.f64 (.f64 y y) y (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))))) (fma.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) (-.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) (.f64 (fma.f64 y x x) (fma.f64 y x x))) (pow.f64 (fma.f64 y x x) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(.f64 (fma.f64 y x x) (/.f64 (-.f64 (.f64 x y) x) (-.f64 (*.f64 x y) x)))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x))) (fma.f64 x (fma.f64 (.f64 x y) y x) (.f64 (.f64 x x) y)))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (.f64 x (-.f64 (.f64 (*.f64 x y) y) x))) (fma.f64 y x x))
(*.f64 x y)
(*.f64 y x)
x
y

eval10.0ms (0.4%)

Memory: 5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 556 to 132 computations (76.3% saved)

prune5.0ms (0.2%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	3	28

Accuracy

100.0%

Counts

28 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.5%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
▶	54.0%	#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
▶	40.9%	#s(approx (+ (+ (* x y) x) y) y)

Compiler

Compiled 29 to 21 computations (27.6% saved)

series153.0ms (6.1%)

Memory

-10.8MiB live, 46.7MiB allocated; 37ms collecting garbage

Counts

10 → 25

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) y)
y
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(+.f64 y #s(literal 1 binary64))

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

Calls

6 calls:

Time	Variable	Point
4.0ms	x	inf
3.0ms	x	0
2.0ms	x	-inf
2.0ms	y	-inf
2.0ms	y	inf

rewrite280.0ms (11.2%)

Memory

-14.4MiB live, 177.0MiB allocated; 26ms collecting garbage

Counts

10 → 42

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) y)
y
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(+.f64 y #s(literal 1 binary64))

Outputs
#s(approx (+ x (+ y (* x y))) y)
y
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal 1 binary64)))
#s(approx (+ x (+ y (* x y))) (fma.f64 y x y))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 #s(literal 1 binary64)))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) y x) (/.f64 (fma.f64 y (-.f64 x #s(literal 1 binary64)) x) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x)))
(.f64 (/.f64 (.f64 (fma.f64 y (-.f64 x #s(literal 1 binary64)) x) (fma.f64 (+.f64 #s(literal 1 binary64) x) y x)) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (.f64 (.f64 y y) y))) (fma.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) x) y x) (*.f64 (fma.f64 y x x) (fma.f64 y x x))))
(.f64 (/.f64 (.f64 (fma.f64 y (-.f64 x #s(literal 1 binary64)) x) (fma.f64 (+.f64 #s(literal 1 binary64) x) y x)) (*.f64 (fma.f64 y (-.f64 x #s(literal 1 binary64)) x) (fma.f64 (+.f64 #s(literal 1 binary64) x) y x))) (fma.f64 (+.f64 #s(literal 1 binary64) x) y x))
(.f64 (fma.f64 (fma.f64 y x x) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x) (.f64 y y)) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) y x) (fma.f64 (fma.f64 y x x) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x) (*.f64 y y))))
(.f64 (/.f64 (fma.f64 (.f64 y y) y (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))))) (fma.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) (-.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) (.f64 (fma.f64 y x x) (fma.f64 y x x))) (pow.f64 (fma.f64 y x x) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))

eval12.0ms (0.5%)

Memory: 10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 326 to 302 computations (77.2% saved)

prune4.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	77	4	81

Accuracy

100.0%

Counts

81 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.5%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
▶	16.9%	#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
✓	40.9%	#s(approx (+ (+ (* x y) x) y) y)
▶	54.0%	#s(approx (+ x (+ y (* x y))) (fma.f64 y x y))

Compiler

Compiled 45 to 30 computations (33.3% saved)

series110.0ms (4.4%)

Memory

-6.4MiB live, 40.6MiB allocated; 5ms collecting garbage

Counts

7 → 16

Calls

Call 1

Inputs
#s(approx (+ x (+ y (* x y))) (fma.f64 y x y))
(fma.f64 y x y)
y
x
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (* y (+ 1 x)) (*.f64 x y))
(*.f64 x y)

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

Calls

6 calls:

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

rewrite280.0ms (11.2%)

Memory

17.6MiB live, 305.7MiB allocated; 64ms collecting garbage

Counts

7 → 23

Calls

Call 1

Inputs
#s(approx (+ x (+ y (* x y))) (fma.f64 y x y))
(fma.f64 y x y)
y
x
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (* y (+ 1 x)) (*.f64 x y))
(*.f64 x y)

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

eval4.0ms (0.2%)

Memory: 8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 788 to 164 computations (79.2% saved)

prune3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	44	5	49

Accuracy

100.0%

Counts

49 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.5%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
✓	16.9%	#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
✓	40.9%	#s(approx (+ (+ (* x y) x) y) y)
✓	54.0%	#s(approx (+ x (+ y (* x y))) (fma.f64 y x y))
▶	17.0%	#s(approx (+ x (+ y (* x y))) (*.f64 x (+.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 58 to 39 computations (32.8% saved)

series133.0ms (5.3%)

Memory

-29.5MiB live, 115.0MiB allocated; 21ms collecting garbage

Counts

6 → 19

Calls

Call 1

Inputs
#s(approx (+ x (+ y (* x y))) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y

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

Calls

6 calls:

Time	Variable	Point
10.0ms	x	-inf
1.0ms	y	-inf
0.0ms	x	inf
0.0ms	y	inf
0.0ms	x	0

rewrite224.0ms (8.9%)

Memory

-9.3MiB live, 274.1MiB allocated; 36ms collecting garbage

Counts

6 → 26

Calls

Call 1

Inputs
#s(approx (+ x (+ y (* x y))) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y

Outputs
#s(approx (+ (+ x y) (* y x)) (fma.f64 y x x))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(*.f64 (fma.f64 y x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
y
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal 1 binary64)))

eval4.0ms (0.2%)

Memory: 15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 720 to 173 computations (76% saved)

prune3.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	40	6	46

Accuracy

100.0%

Counts

46 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.5%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
✓	16.9%	#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
✓	40.9%	#s(approx (+ (+ (* x y) x) y) y)
	17.0%	#s(approx (+ (+ x y) (* y x)) (fma.f64 y x x))
✓	54.0%	#s(approx (+ x (+ y (* x y))) (fma.f64 y x y))
	3.3%	#s(approx (+ x (+ y (* x y))) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))

Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes30.0ms (1.2%)

Memory

8.7MiB live, 101.8MiB allocated; 3ms collecting garbage

Accuracy

Total -24.3b remaining (-19.3%)

Threshold costs -24.3b (-19.3%)

Counts

2 → 1

3 → 2

7 → 1

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ x (+ y (* x y))) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))

Outputs
#s(approx (+ (+ (* x y) x) y) y)

Call 2

Inputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ x (+ y (* x y))) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))

Outputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))

Call 3

Inputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ x (+ y (* x y))) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (+ x (+ y (* x y))) (fma.f64 y x y))
#s(approx (+ (+ x y) (* y x)) (fma.f64 y x x))
#s(approx (+ x (+ y (* x y))) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))

Outputs
#s(approx (+ x (+ y (* x y))) (fma.f64 y x y))

Call 4

Inputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ x (+ y (* x y))) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (+ x (+ y (* x y))) (fma.f64 y x y))
#s(approx (+ (+ x y) (* y x)) (fma.f64 y x x))
#s(approx (+ x (+ y (* x y))) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(+.f64 (+.f64 (*.f64 x y) x) y)

Outputs
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)

Calls

12 calls:

4.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms	y
3.0ms	x
3.0ms	x
3.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
40.9%	1	`y`
40.9%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`
40.9%	1	`x`
54.1%	2	`x`
43.6%	2	`y`
48.5%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`
54.0%	1	`x`
54.0%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`
54.0%	1	`y`
54.5%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`
54.5%	1	`x`
54.5%	1	`y`

Compiler

Compiled 141 to 73 computations (48.2% saved)

bsearch10.0ms (0.4%)

Memory

-23.3MiB live, 24.3MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.226539972572138e-18	9.539212170896938e-14

Samples

4.0ms

128×

valid

Compiler

Compiled 218 to 162 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add!: 1.0ms (82.5% of total)

ival-mult!: 1.0ms (82.5% of total)

adjust: 0.0ms (0% of total)

derivations1.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 58 to 23 computations (60.3% saved)

preprocess63.0ms (2.5%)

Memory

-10.5MiB live, 132.5MiB allocated; 43ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 431 to 244 computations (43.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample782.0ms (31.3%)

preprocess56.0ms (2.2%)

series108.0ms (4.3%)

rewrite226.0ms (9.1%)

eval10.0ms (0.4%)

prune5.0ms (0.2%)

series153.0ms (6.1%)

rewrite280.0ms (11.2%)

eval12.0ms (0.5%)

prune4.0ms (0.2%)

series110.0ms (4.4%)

rewrite280.0ms (11.2%)

eval4.0ms (0.2%)

prune3.0ms (0.1%)

series133.0ms (5.3%)

rewrite224.0ms (8.9%)

eval4.0ms (0.2%)

prune3.0ms (0.1%)

regimes30.0ms (1.2%)

bsearch10.0ms (0.4%)

derivations1.0ms (0.1%)

preprocess63.0ms (2.5%)

end0.0ms (0%)

Profiling