Metrics for Data.Histogram.Bin.LogBinD:$cbinSizeN from histogram-fill-0.8.4.1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

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 7 to 6 computations (14.3% saved)

sample612.0ms (16.1%)

Memory

21.5MiB live, 679.9MiB allocated

Samples

418.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 104.0ms (67.3% of total)

ival-sub: 42.0ms (27.2% of total)

ival-true: 6.0ms (3.9% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain72.0ms (1.9%)

Memory

-6.1MiB live, 87.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 (*.f64 x y) x)`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

45.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 22.0ms (86.4% of total)

ival-sub: 2.0ms (7.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess42.0ms (1.1%)

Memory

-9.9MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	33
0	4	5
0	6	5
1	7	5
0	7	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(-.f64 (*.f64 x y) x)
(-.f64 (*.f64 y x) x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x y) x)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 (*.f64 x y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	7	10
0	7	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(-.f64 (*.f64 x y) x)
(-.f64 (*.f64 y x) x)
(*.f64 x y)
(*.f64 y x)
x
y

localize12.0ms (0.3%)

Memory

23.2MiB live, 23.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x y)
accuracy	0.015625	(-.f64 (*.f64 x y) x)

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (59.2% of total)

ival-sub: 1.0ms (29.6% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series32.0ms (0.8%)

Memory

-37.5MiB live, 4.6MiB allocated

Counts

2 → 7

Calls

Call 1

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

Outputs
(* x (- y 1))
(* x y)
(* -1 (* x (+ 1 (* -1 y))))
(* -1 x)
(- (* x y) x)
(* y (+ x (* -1 (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	y	@	-inf	((- (* x y) x) (* x y))
1.0ms	x	@	inf	((- (* x y) x) (* x y))
1.0ms	y	@	inf	((- (* x y) x) (* x y))
1.0ms	x	@	-inf	((- (* x y) x) (* x y))
0.0ms	x	@	0	((- (* x y) x) (* x y))

simplify203.0ms (5.3%)

Memory

21.8MiB live, 75.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	30
1	65	30
2	187	30
3	459	30
4	1050	30
5	1525	30
6	2837	30
7	4207	30
8	4442	30
9	4531	30
10	4573	30
11	4573	30
12	4939	30
13	5500	30
14	5617	30
15	5661	30
16	5663	30
17	5669	30
18	5695	30
19	5761	30
20	5864	30
21	6032	30
0	8512	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

Inputs
(* x (- y 1))
(* x y)
(* -1 (* x (+ 1 (* -1 y))))
(* -1 x)
(- (* x y) x)
(* y (+ x (* -1 (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))

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

rewrite207.0ms (5.5%)

Memory

16.9MiB live, 146.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	20	8
2	136	8
3	1431	8
0	9588	7

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

2 → 282

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal 2 binary64))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 y x x) x) (-.f64 (.f64 (fma.f64 y x x) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (fma.f64 y x x))
(.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))))
(.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 (/.f64 (fma.f64 y x x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y x x) x))
(*.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(*.f64 (fma.f64 y x x) (/.f64 (fma.f64 y x x) (fma.f64 y x x)))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 y x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (.f64 x (/.f64 x (fma.f64 y x x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) y))) x)
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (neg.f64 x) x)) (fma.f64 y x x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y x))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 y x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (.f64 x (/.f64 x (fma.f64 y x x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (.f64 (fma.f64 y x x) (.f64 x x)))) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) x) (.f64 x (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) y)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (fma.f64 y x x)) (.f64 x (.f64 (neg.f64 x) x))) (*.f64 (fma.f64 y x x) x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (fma.f64 y x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y x x) x))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (.f64 (fma.f64 y x x) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) y)))) (*.f64 (fma.f64 y x x) x))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x)) (.f64 (fma.f64 y x x) (.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x)) (.f64 (fma.f64 y x x) (.f64 x x))) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (.f64 (fma.f64 y x x) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) y)))) (*.f64 (fma.f64 y x x) x))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (.f64 (fma.f64 y x x) (.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))) (.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))))
(/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) x (.f64 x (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) y)))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (fma.f64 y x x) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 y x x) x))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) x (.f64 (fma.f64 y x x) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) y)))) (.f64 (fma.f64 y x x) x))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x) (.f64 (fma.f64 y x x) (*.f64 x x))) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x (.f64 (fma.f64 y x x) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) y)))) (.f64 (fma.f64 y x x) x))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x) (.f64 (fma.f64 y x x) (*.f64 x x))) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (fma.f64 y x x) (.f64 x (.f64 (neg.f64 x) x))) (.f64 (fma.f64 y x x) x))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x) (.f64 (fma.f64 y x x) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x) (.f64 (fma.f64 y x x) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (neg.f64 (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 x x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (+.f64 x (*.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 x (*.f64 y x)))
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(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (-.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (fma.f64 y x x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (fma.f64 y x x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (neg.f64 (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (.f64 (neg.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (.f64 (neg.f64 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (fma.f64 y x x)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (.f64 (neg.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y))) (/.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))) (/.f64 x x)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (.f64 (neg.f64 (neg.f64 x)) (/.f64 x (fma.f64 y x x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 y x x)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (.f64 x (/.f64 x (fma.f64 y x x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal 2 binary64)))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))))) (fma.f64 (.f64 (fma.f64 y x x) x) (-.f64 (.f64 (fma.f64 y x x) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (.f64 (.f64 (neg.f64 x) x) (/.f64 x (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (.f64 (neg.f64 x) (/.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (neg.f64 (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(-.f64 (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) x))
(-.f64 (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) y))
(-.f64 (neg.f64 x) (*.f64 (neg.f64 y) (neg.f64 x)))
(-.f64 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 y)))
(-.f64 (*.f64 (neg.f64 y) x) (neg.f64 x))
(-.f64 (*.f64 (neg.f64 y) x) x)
(-.f64 (*.f64 y x) x)
(-.f64 x (*.f64 (neg.f64 y) x))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (.f64 (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (.f64 (-.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (fma.f64 y x x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (fma.f64 y x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 x x) y)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 x x) y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))))))
(+.f64 (.f64 x (/.f64 x (fma.f64 y x x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (fma.f64 y x x)))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (.f64 x (/.f64 x (fma.f64 y x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (neg.f64 (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (neg.f64 y) x) (neg.f64 x))
(+.f64 (*.f64 (neg.f64 y) x) x)
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) x)
(.f64 (sqrt.f64 (.f64 (*.f64 y y) (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (neg.f64 (.f64 (neg.f64 y) x))) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 y) x))))
(.f64 (sqrt.f64 (.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)))
(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (*.f64 x x) y)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) (*.f64 y y))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 y y) x)))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 y) x)
(*.f64 y x)
(*.f64 x (fabs.f64 (fabs.f64 y)))
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x (fabs.f64 y))
(*.f64 x y)
(pow.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 y) x)))
(fabs.f64 (*.f64 (neg.f64 y) x))
(fabs.f64 (*.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (.f64 y x))) (sinh.f64 (log.f64 (.f64 y x))))

eval133.0ms (3.5%)

Memory: 1.3MiB live, 65.6MiB allocated
Compiler: Compiled 7 944 to 638 computations (92% saved)

prune37.0ms (1%)

Memory

-32.9MiB live, 16.1MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	282	3	285
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	282	4	286

Accuracy

100.0%

Counts

286 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(fma.f64 y x x)
✓	100.0%	(-.f64 (*.f64 x y) x)
▶	100.0%	#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	45.2%	#s(approx (- (* x y) x) (neg.f64 x))

Compiler

Compiled 28 to 21 computations (25% saved)

simplify15.0ms (0.4%)

Memory

17.2MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 y x x)
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (* x y) x) (neg.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	16	39
1	23	39
2	30	39
3	45	39
4	67	39
5	119	39
6	279	39
7	457	39
8	598	39
9	653	39
10	658	39
0	658	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.8%)

Memory

5.9MiB live, 51.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x x)
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0	#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
accuracy	0.01171875	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
accuracy	0.0	(neg.f64 x)
accuracy	35.085035039699406	#s(approx (- (* x y) x) (neg.f64 x))

Samples

22.0ms

256×

valid

Compiler

Compiled 33 to 12 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (62.6% of total)

ival-sub: 2.0ms (13.9% of total)

ival-add: 1.0ms (7% of total)

ival-neg: 1.0ms (7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series33.0ms (0.9%)

Memory

-27.8MiB live, 18.8MiB allocated

Counts

6 → 19

Calls

Call 1

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

Outputs
(* x (- y 1))
(* -1 x)
(* x (+ 1 y))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (- (* -1 y) 1)))
(- (* x y) x)
(+ (* -1 x) (* x y))
-1
(- y 1)
x
(+ x (* x y))
(* x y)
(* y (+ x (* -1 (/ x y))))
y
(* y (- 1 (/ 1 y)))
(* y (+ x (/ x y)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	y	@	inf	((- (* x y) x) (neg x) (- (* x y) x) (* (- y 1) x) (- y 1) (+ (* y x) x))
1.0ms	x	@	-inf	((- (* x y) x) (neg x) (- (* x y) x) (* (- y 1) x) (- y 1) (+ (* y x) x))
1.0ms	x	@	inf	((- (* x y) x) (neg x) (- (* x y) x) (* (- y 1) x) (- y 1) (+ (* y x) x))
1.0ms	y	@	-inf	((- (* x y) x) (neg x) (- (* x y) x) (* (- y 1) x) (- y 1) (+ (* y x) x))
1.0ms	x	@	0	((- (* x y) x) (neg x) (- (* x y) x) (* (- y 1) x) (- y 1) (+ (* y x) x))

simplify231.0ms (6.1%)

Memory

14.6MiB live, 113.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	81
1	118	81
2	327	81
3	758	81
4	1627	81
5	2450	77
6	3277	77
7	3723	77
8	3999	77
9	4084	77
10	4146	77
11	4146	77
12	4406	77
13	4488	77
14	4555	77
15	4557	77
16	4557	77
17	7441	77
18	7849	77
19	7857	77
20	7857	77
0	8177	72

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

Inputs
(* x (- y 1))
(* -1 x)
(* x (+ 1 y))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (- (* -1 y) 1)))
(- (* x y) x)
(+ (* -1 x) (* x y))
-1
(- y 1)
x
(+ x (* x y))
(* x y)
(* y (+ x (* -1 (/ x y))))
y
(* y (- 1 (/ 1 y)))
(* y (+ x (/ x y)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))

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

rewrite165.0ms (4.4%)

Memory

26.7MiB live, 117.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
0	16	33
1	62	33
2	320	33
3	3663	33
0	8502	33

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 281

Calls

Call 1

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

Outputs
#s(approx (- (* x y) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.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 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) x) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 1 binary64))
(.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) y) (.f64 y y)) (pow.f64 y #s(literal 4 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 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))) (fma.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (fma.f64 y y (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))))
(expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(expm1.f64 (log.f64 y))
(-.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (pow.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(-.f64 y #s(literal 1 binary64))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) y))) x)
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 y x)) x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 y x)) x) (-.f64 (.f64 (-.f64 x (.f64 y x)) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))))
(.f64 (.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(.f64 (neg.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))
(*.f64 (/.f64 (fma.f64 y x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (fma.f64 y x x) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 y x) x) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(*.f64 #s(literal -1 binary64) (fma.f64 y x x))
(.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))))
(.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))
(*.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) x)
(.f64 (+.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(*.f64 (fma.f64 y x x) #s(literal 1 binary64))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 y x) x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 y x x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 y x x) x)))
(/.f64 (.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 y x x) x) (-.f64 (.f64 (fma.f64 y x x) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 (.f64 y y) x)))) (-.f64 x (*.f64 y x)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)) #s(literal 2 binary64))) (fma.f64 y x x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y x) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x)))) (neg.f64 (-.f64 x (.f64 y x))))
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(fma.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (.f64 (.f64 x x) y)))
(fma.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 y x x) x) (.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y x x) x)))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y x) x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(fma.f64 (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) y) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) x (neg.f64 x))
(fma.f64 (.f64 (neg.f64 x) y) (/.f64 (.f64 (neg.f64 x) y) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y x) x)))
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y x) x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(fma.f64 (.f64 (fma.f64 y x x) x) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y x) x)))
(fma.f64 (.f64 x x) (/.f64 x (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y x) x)))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 y x) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 y x x) x) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(fma.f64 (.f64 y x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y x) x)))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 (neg.f64 x) y (neg.f64 x))
(fma.f64 y (fabs.f64 (.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1 binary64) x))
(fma.f64 y (fabs.f64 (.f64 #s(literal 1 binary64) x)) (.f64 x #s(literal 1 binary64)))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1 binary64) x)) x)
(fma.f64 y (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) x))
(fma.f64 y (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(fma.f64 y (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(fma.f64 y (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))
(fma.f64 y (.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal 1 binary64) x) x)
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y x) x)))
(fma.f64 y (neg.f64 x) (neg.f64 x))
(fma.f64 y x (*.f64 #s(literal 1 binary64) x))
(fma.f64 y x (*.f64 x #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 x (/.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y x) x)))
(fma.f64 x (neg.f64 y) (neg.f64 x))
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 #s(literal 1 binary64) x))
(fma.f64 x y (*.f64 x #s(literal 1 binary64)))
(fma.f64 x y x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 x (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)))
(-.f64 x (*.f64 (neg.f64 x) y))
(+.f64 (.f64 (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x x) y) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 y x x) x) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))))
(+.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 y x x) x) (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 y x))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (.f64 (*.f64 x x) y)))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 y x x) x)) (.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 y x x) x)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x)))))))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 y x))
(+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)))
(+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x))
(+.f64 (.f64 y x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 y x) (.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 y x) x)
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) y))
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 x (*.f64 y x))

eval85.0ms (2.2%)

Memory: -41.5MiB live, 53.3MiB allocated
Compiler: Compiled 6 386 to 729 computations (88.6% saved)

prune5.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	289	1	290
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	290	4	294

Accuracy

100.0%

Counts

294 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
✓	100.0%	#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	55.9%	#s(approx (- (* x y) x) (*.f64 y x))
✓	45.2%	#s(approx (- (* x y) x) (neg.f64 x))

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify4.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (- (* x y) x) (*.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
0	7	14
1	8	14
0	8	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (*.f64 y x))
(*.f64 y x)
y
x

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

localize14.0ms (0.4%)

Memory

13.8MiB live, 13.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y x)
accuracy	28.19626711102966	#s(approx (- (* x y) x) (*.f64 y x))

Samples

10.0ms

256×

valid

Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (62.7% of total)

ival-sub: 1.0ms (20.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

2 → 7

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (*.f64 y x))
(*.f64 y x)

Outputs
(* x (- y 1))
(* x y)
(* -1 (* x (+ 1 (* -1 y))))
(* -1 x)
(- (* x y) x)
(* y (+ x (* -1 (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((- (* x y) x) (* y x))
0.0ms	x	@	inf	((- (* x y) x) (* y x))
0.0ms	y	@	-inf	((- (* x y) x) (* y x))
0.0ms	y	@	inf	((- (* x y) x) (* y x))
0.0ms	x	@	0	((- (* x y) x) (* y x))

simplify188.0ms (4.9%)

Memory

-8.1MiB live, 40.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	30
1	65	30
2	187	30
3	458	30
4	1049	30
5	1524	30
6	2836	30
7	4209	30
8	4444	30
9	4534	30
10	4576	30
11	4576	30
12	4942	30
13	5498	30
14	5615	30
15	5659	30
16	5661	30
17	5667	30
18	5693	30
19	5759	30
20	5868	30
21	6036	30
0	8577	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

Inputs
(* x (- y 1))
(* x y)
(* -1 (* x (+ 1 (* -1 y))))
(* -1 x)
(- (* x y) x)
(* y (+ x (* -1 (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))

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

rewrite220.0ms (5.8%)

Memory

-14.6MiB live, 85.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
0	7	12
1	21	12
2	136	12
3	1430	12
0	9587	11

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

2 → 32

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (*.f64 y x))
(*.f64 y x)

Outputs
#s(approx (- (* x y) x) (*.f64 y x))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) x)
(.f64 (sqrt.f64 (.f64 (*.f64 y y) (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (neg.f64 (.f64 (neg.f64 x) y))) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 x) y))))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)))
(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (*.f64 x x) y)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) (*.f64 y y))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 y y) x)))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 y) x)
(*.f64 y x)
(*.f64 x (fabs.f64 (fabs.f64 y)))
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x (fabs.f64 y))
(*.f64 x y)
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) y)))
(fabs.f64 (*.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (.f64 y x))) (sinh.f64 (log.f64 (.f64 y x))))

eval3.0ms (0.1%)

Memory: 2.8MiB live, 2.8MiB allocated
Compiler: Compiled 444 to 108 computations (75.7% saved)

prune3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	35	4	39

Accuracy

100.0%

Counts

39 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
✓	100.0%	#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	55.9%	#s(approx (- (* x y) x) (*.f64 y x))
✓	45.2%	#s(approx (- (* x y) x) (neg.f64 x))

Compiler

Compiled 70 to 39 computations (44.3% saved)

regimes6.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(-.f64 (*.f64 x y) x)

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (*.f64 x y) x)`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (neg.f64 x))
#s(approx (- (* x y) x) (*.f64 y x))
(fma.f64 y x x)

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

Calls

3 calls:

2.0ms	x
1.0ms	y
1.0ms	(-.f64 (*.f64 x y) x)

Results

Accuracy	Segments	Branch
65.8%	3	`(-.f64 (*.f64 x y) x)`
60.1%	3	`x`
97.0%	3	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (neg.f64 x))

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

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(-.f64 (*.f64 x y) x)

Results

Accuracy	Segments	Branch
45.2%	1	`x`
45.2%	1	`(-.f64 (*.f64 x y) x)`
45.2%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch20.0ms (0.5%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.04011078669387243	116.08968841486166
10.0ms	-76.50223415623525	-0.00010878641723434962

Samples

9.0ms

272×

valid

Compiler

Compiled 297 to 247 computations (16.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (56.5% of total)

ival-sub: 1.0ms (28.3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify24.0ms (0.6%)

Memory

-41.6MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	28	45
2	32	45
3	35	45

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* x y) x) (*.f64 y x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (* x y) x) (neg.f64 x)) #s(approx (- (* x y) x) (*.f64 y x))))

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

Outputs
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* x y) x) (.f64 y x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( x y) x) (neg.f64 x)) #s(approx (- (* x y) x) (*.f64 y x))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (- (* x y) x) (.f64 y x)) #s(approx (- ( x y) x) (neg.f64 x)))
#s(approx (- (* x y) x) (neg.f64 x))

soundness1.3s (35.2%)

Memory

20.8MiB live, 264.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	81
1	118	81
2	327	81
3	758	81
4	1627	81
5	2450	77
6	3277	77
7	3723	77
8	3999	77
9	4084	77
10	4146	77
11	4146	77
12	4406	77
13	4488	77
14	4555	77
15	4557	77
16	4557	77
17	7441	77
18	7849	77
19	7857	77
20	7857	77
0	8177	72
0	20	30
1	65	30
2	187	30
3	459	30
4	1050	30
5	1525	30
6	2837	30
7	4207	30
8	4442	30
9	4531	30
10	4573	30
11	4573	30
12	4939	30
13	5500	30
14	5617	30
15	5661	30
16	5663	30
17	5669	30
18	5695	30
19	5761	30
20	5864	30
21	6032	30
0	8512	30

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 59 to 35 computations (40.7% saved)

preprocess46.0ms (1.2%)

Memory: -11.4MiB live, 34.8MiB allocated
Compiler: Compiled 100 to 44 computations (56% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	39
0	16	39
1	23	39
2	30	39
3	45	39
4	67	39
5	119	39
6	279	39
7	457	39
8	598	39
9	653	39
10	658	39
0	658	39

Iter	Nodes	Cost
0	11	39
0	16	39
1	23	39
2	30	39
3	45	39
4	67	39
5	119	39
6	279	39
7	457	39
8	598	39
9	653	39
10	658	39
0	658	39

start0.0ms (0%)

analyze0.0ms (0%)

sample612.0ms (16.1%)

explain72.0ms (1.9%)

preprocess42.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize12.0ms (0.3%)

series32.0ms (0.8%)

simplify203.0ms (5.3%)

rewrite207.0ms (5.5%)

eval133.0ms (3.5%)

prune37.0ms (1%)

simplify15.0ms (0.4%)

localize30.0ms (0.8%)

series33.0ms (0.9%)

simplify231.0ms (6.1%)

rewrite165.0ms (4.4%)

eval85.0ms (2.2%)

prune5.0ms (0.1%)

simplify4.0ms (0.1%)

localize14.0ms (0.4%)

series2.0ms (0%)

simplify188.0ms (4.9%)

rewrite220.0ms (5.8%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch20.0ms (0.5%)

simplify24.0ms (0.6%)

soundness1.3s (35.2%)

preprocess46.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	39
0	16	39
1	23	39
2	30	39
3	45	39
4	67	39
5	119	39
6	279	39
7	457	39
8	598	39
9	653	39
10	658	39
0	658	39