Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, E

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 7 computations (0% saved)

sample613.0ms (27%)

Memory

1.1MiB live, 804.6MiB allocated

Samples

403.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-div: 92.0ms (51.5% of total)

ival-sub: 71.0ms (39.7% of total)

ival-true: 7.0ms (3.9% of total)

exact: 5.0ms (2.8% of total)

ival-assert: 4.0ms (2.2% of total)

Bogosity

explain75.0ms (3.3%)

Memory

-8.6MiB live, 110.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
-	-	`y`
-	-	`(/.f64 y #s(literal 4 binary64))`
-	-	`#s(literal 4 binary64)`
-	-	`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

21.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (43.8% of total)

ival-sub: 4.0ms (43.8% of total)

ival-true: 1.0ms (11% of total)

exact: 0.0ms (0% of total)

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

preprocess53.0ms (2.3%)

Memory

4.4MiB live, 40.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	167	25
4	282	25
5	336	25
6	342	25
0	5	5
0	7	5
1	9	5
2	19	5
3	31	5
4	53	5
5	98	5
6	168	5
7	218	5
8	228	5
0	228	4

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal -1/4 binary64) y x)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify10.0ms (0.4%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	128	(-.f64 x (/.f64 y #s(literal 4 binary64)))
cost-diff	384	(/.f64 y #s(literal 4 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	31	11
4	53	11
5	98	11
6	168	11
7	218	11
8	228	11
0	228	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)

Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal -1/4 binary64) y x)
x
(/.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
y
#s(literal 4 binary64)

localize17.0ms (0.7%)

Memory

-8.3MiB live, 29.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 4 binary64))
accuracy	0	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 3.0ms (59.3% of total)

ival-sub: 1.0ms (19.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

2 → 9

Calls

Call 1

Inputs
(/.f64 y #s(literal 4 binary64))
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
(* -1/4 y)
(- x (* 1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* 1/4 y)
(+ x (* -1/4 y))
(* y (- (/ x y) 1/4))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((/ y 4) (- x (/ y 4)))
1.0ms	y	@	inf	((/ y 4) (- x (/ y 4)))
0.0ms	y	@	0	((/ y 4) (- x (/ y 4)))
0.0ms	x	@	inf	((/ y 4) (- x (/ y 4)))
0.0ms	x	@	0	((/ y 4) (- x (/ y 4)))

simplify113.0ms (5%)

Memory

-11.6MiB live, 110.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	73	37
2	199	37
3	594	37
4	1538	37
5	3232	37
6	4616	37
7	5855	37
8	7443	37
0	8059	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
(* -1/4 y)
(- x (* 1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* 1/4 y)
(+ x (* -1/4 y))
(* y (- (/ x y) 1/4))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

Outputs
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(- x (* 1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
x
(* x (+ 1 (* -1/4 (/ y x))))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(fma.f64 #s(literal -1/4 binary64) y x)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(+ x (* -1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
(* y (- (/ x y) 1/4))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/4 binary64) y x)

rewrite261.0ms (11.5%)

Memory

28.6MiB live, 176.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	32	8
2	259	8
3	4371	8
0	8397	7

Stop Event

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

Counts

2 → 147

Calls

Call 1

Inputs
(/.f64 y #s(literal 4 binary64))
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
(*.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/4 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/4 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/4 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) y)))
(pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -4 binary64) y))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -4 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y))
(/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 (neg.f64 y) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1 binary64))
(/.f64 y #s(literal 4 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/4 binary64) y))
(-.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 4 binary64) y))) (sinh.f64 (log.f64 (/.f64 #s(literal 4 binary64) y))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) y)))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/4 binary64) y))) (sinh.f64 (log.f64 (.f64 #s(literal 1/4 binary64) y))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal 2 binary64))))) (fma.f64 x x (.f64 (*.f64 #s(literal -1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/4 binary64) y x))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (.f64 x x)) (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) y) (-.f64 (.f64 #s(literal 1/4 binary64) y) x) (.f64 x x)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64)) (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 (fma.f64 #s(literal -1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)))
(.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 (fma.f64 #s(literal -1/4 binary64) y x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) y x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) y x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) (.f64 (fma.f64 #s(literal -1/4 binary64) y x) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x)) (.f64 (*.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))))
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(fma.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal -1 binary64) x)
(fma.f64 y #s(literal -1/4 binary64) x)
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 1/4 binary64) y))
(-.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) (.f64 (*.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) (/.f64 (.f64 (*.f64 y y) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/4 binary64) y x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))

eval60.0ms (2.6%)

Memory: -51.9MiB live, 52.5MiB allocated
Compiler: Compiled 2 967 to 420 computations (85.8% saved)

prune16.0ms (0.7%)

Memory

8.4MiB live, 8.4MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	2	151

Accuracy

100.0%

Counts

151 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -1/4 binary64) x)
▶	49.6%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify11.0ms (0.5%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 y #s(literal -1/4 binary64) x)
cost-diff	0	(*.f64 #s(literal -1/4 binary64) y)
cost-diff	0	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	32	21
3	55	21
4	90	20
5	168	20
6	211	20
7	235	20
8	239	20
0	239	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
#s(literal -1/4 binary64)
y
(fma.f64 y #s(literal -1/4 binary64) x)
y
#s(literal -1/4 binary64)
x

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
#s(literal -1/4 binary64)
y
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
y
#s(literal -1/4 binary64)
x

localize57.0ms (2.5%)

Memory

14.2MiB live, 90.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y #s(literal -1/4 binary64) x)
accuracy	0	(*.f64 #s(literal -1/4 binary64) y)
accuracy	32.26498923489273	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Samples

44.0ms

256×

valid

Compiler

Compiled 41 to 20 computations (51.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (38.1% of total)

ival-div: 2.0ms (25.4% of total)

ival-sub: 1.0ms (12.7% of total)

ival-add: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (1.3%)

Memory

-27.9MiB live, 11.4MiB allocated

Counts

3 → 8

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
(fma.f64 y #s(literal -1/4 binary64) x)

Outputs
(* -1/4 y)
(- x (* 1/4 y))
(+ x (* -1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* y (- (/ x y) 1/4))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	((- x (/ y 4)) (* -1/4 y) (+ (* y -1/4) x))
0.0ms	y	@	0	((- x (/ y 4)) (* -1/4 y) (+ (* y -1/4) x))
0.0ms	y	@	-inf	((- x (/ y 4)) (* -1/4 y) (+ (* y -1/4) x))
0.0ms	y	@	inf	((- x (/ y 4)) (* -1/4 y) (+ (* y -1/4) x))
0.0ms	x	@	-inf	((- x (/ y 4)) (* -1/4 y) (+ (* y -1/4) x))

simplify166.0ms (7.3%)

Memory

0.9MiB live, 86.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	34
1	73	34
2	199	34
3	595	34
4	1536	34
5	3224	34
6	4607	34
7	5847	34
8	7435	34
0	8051	28

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 7

Calls

Call 1

Inputs
(* -1/4 y)
(- x (* 1/4 y))
(+ x (* -1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* y (- (/ x y) 1/4))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

Outputs
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(- x (* 1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
(+ x (* -1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
x
(* x (+ 1 (* -1/4 (/ y x))))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(fma.f64 #s(literal -1/4 binary64) y x)
(* y (- (/ x y) 1/4))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/4 binary64) y x)

rewrite240.0ms (10.5%)

Memory

0.1MiB live, 121.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	12	16
1	49	15
2	417	15
3	7013	15
0	8015	15

Stop Event

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

Counts

3 → 187

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
(fma.f64 y #s(literal -1/4 binary64) x)

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 (neg.f64 y) #s(literal 1/4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) y))
(*.f64 #s(literal 1/4 binary64) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
(.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal -1/4 binary64))
(pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1/16 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) y)))
(/.f64 (neg.f64 y) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y))
(/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/4 binary64) y)))))
(/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y #s(literal -4 binary64))
(neg.f64 (*.f64 #s(literal 1/4 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) y))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) y))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (*.f64 x (fma.f64 #s(literal -1/4 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (*.f64 #s(literal -1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)))
(.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1/4 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal -1/16 binary64) (.f64 y y) (*.f64 x x))) (fma.f64 #s(literal -1/4 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) y) (-.f64 (.f64 #s(literal 1/4 binary64) y) x) (.f64 x x)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/16 binary64) (.f64 y y) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (neg.f64 x) x)))
(.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 (fma.f64 #s(literal -1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)))
(.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 (fma.f64 #s(literal -1/4 binary64) y x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) y x))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) y x) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) (.f64 (fma.f64 #s(literal -1/4 binary64) y x) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/4 binary64) y x) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) x) (-.f64 (*.f64 #s(literal -1/4 binary64) y) x)))
(.f64 (fma.f64 #s(literal -1/4 binary64) y x) (.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) y x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) y x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) y x))) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) y x))) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (.f64 x x)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64))))
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))))
(fma.f64 (.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 #s(literal -1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x)))))
(fma.f64 (.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 #s(literal -1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))))
(fma.f64 (.f64 #s(literal -1/4 binary64) y) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))))
(fma.f64 #s(literal -1/4 binary64) y x)
(fma.f64 (.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 #s(literal 1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 #s(literal 1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))))
(fma.f64 (.f64 #s(literal 1/4 binary64) y) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal -1 binary64) x)
(fma.f64 y (/.f64 (.f64 #s(literal 1/16 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x)))))
(fma.f64 y (/.f64 (.f64 #s(literal 1/16 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x)) (neg.f64 (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y x)))))
(fma.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x)) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 y y)) (fma.f64 #s(literal 1/4 binary64) y x)))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) y))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 1/4 binary64) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))))
(-.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) (.f64 (*.f64 #s(literal 1/16 binary64) y) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y x))))
(-.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 y y)) (fma.f64 #s(literal 1/4 binary64) y x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) (neg.f64 (.f64 (*.f64 #s(literal 1/16 binary64) y) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y x)))))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) (/.f64 (.f64 #s(literal -1/16 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/4 binary64) y x)))
(+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 y y)) (fma.f64 #s(literal 1/4 binary64) y x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x)))))
(+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 y y)) (fma.f64 #s(literal 1/4 binary64) y x)) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))

eval24.0ms (1.1%)

Memory: -2.7MiB live, 34.3MiB allocated
Compiler: Compiled 5 232 to 460 computations (91.2% saved)

prune4.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	189	2	191

Accuracy

100.0%

Counts

191 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -1/4 binary64) x)
✓	49.6%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes9.0ms (0.4%)

Memory

-14.1MiB live, 24.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
(fma.f64 y #s(literal -1/4 binary64) x)

Calls

4 calls:

3.0ms	(-.f64 x (/.f64 y #s(literal 4 binary64)))
2.0ms	(/.f64 y #s(literal 4 binary64))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
100.0%	1	`(/.f64 y #s(literal 4 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.3%)

Memory

18.3MiB live, 18.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Calls

4 calls:

1.0ms	(-.f64 x (/.f64 y #s(literal 4 binary64)))
1.0ms	(/.f64 y #s(literal 4 binary64))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
49.6%	1	`x`
49.6%	1	`y`
49.6%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
49.6%	1	`(/.f64 y #s(literal 4 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify89.0ms (3.9%)

Memory

-5.0MiB live, 78.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	10	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal -1/4 binary64) x)
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Outputs
(fma.f64 y #s(literal -1/4 binary64) x)
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

soundness394.0ms (17.3%)

Memory

-25.9MiB live, 212.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	73	37
2	199	37
3	594	37
4	1538	37
5	3232	37
6	4616	37
7	5855	37
8	7443	37
0	8059	31
0	5	8
0	7	8
1	32	8
2	259	8
3	4371	8
0	8397	7

Stop Event

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

Compiler

Compiled 25 to 20 computations (20% saved)

preprocess22.0ms (1%)

Memory: 24.9MiB live, 63.2MiB allocated
Compiler: Compiled 36 to 28 computations (22.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	167	25
4	282	25
5	336	25
6	342	25
0	5	5
0	7	5
1	9	5
2	19	5
3	31	5
4	53	5
5	98	5
6	168	5
7	218	5
8	228	5
0	228	4

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	167	25
4	282	25
5	336	25
6	342	25
0	5	5
0	7	5
1	9	5
2	19	5
3	31	5
4	53	5
5	98	5
6	168	5
7	218	5
8	228	5
0	228	4

start0.0ms (0%)

analyze0.0ms (0%)

sample613.0ms (27%)

explain75.0ms (3.3%)

preprocess53.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify10.0ms (0.4%)

localize17.0ms (0.7%)

series3.0ms (0.1%)

simplify113.0ms (5%)

rewrite261.0ms (11.5%)

eval60.0ms (2.6%)

prune16.0ms (0.7%)

simplify11.0ms (0.5%)

localize57.0ms (2.5%)

series29.0ms (1.3%)

simplify166.0ms (7.3%)

rewrite240.0ms (10.5%)

eval24.0ms (1.1%)

prune4.0ms (0.2%)

regimes9.0ms (0.4%)

regimes6.0ms (0.3%)

simplify89.0ms (3.9%)

soundness394.0ms (17.3%)

preprocess22.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	167	25
4	282	25
5	336	25
6	342	25
0	5	5
0	7	5
1	9	5
2	19	5
3	31	5
4	53	5
5	98	5
6	168	5
7	218	5
8	228	5
0	228	4