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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 9 to 9 computations (0% saved)

sample737.0ms (25.5%)

Memory

-7.2MiB live, 1 071.0MiB allocated

Samples

414.0ms	7 627×	0	valid
26.0ms	149×	3	valid
22.0ms	264×	1	valid
18.0ms	216×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-div: 70.0ms (32.8% of total)

ival-mult: 59.0ms (27.7% of total)

ival-sub: 56.0ms (26.3% of total)

adjust: 11.0ms (5.2% of total)

exact: 8.0ms (3.8% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain120.0ms (4.2%)

Memory

2.9MiB live, 132.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 8 binary64)`
-	-	`y`
-	-	`#s(literal 3 binary64)`
-	-	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
-	-	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`
-	-	`(/.f64 #s(literal 3 binary64) #s(literal 8 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

73.0ms	452×	0	valid
2.0ms	22×	2	valid
2.0ms	16×	3	valid
2.0ms	22×	1	valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 31.0ms (77.6% of total)

ival-sub: 3.0ms (7.5% of total)

ival-mult: 3.0ms (7.5% of total)

adjust: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess35.0ms (1.2%)

Memory

-2.0MiB live, 34.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	28	27
2	47	27
3	66	27
4	75	27
5	77	27
0	7	5
0	11	5
1	16	5
2	22	5
3	30	5
4	38	5
0	38	4

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(fma.f64 #s(literal -3/8 binary64) y x)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify8.0ms (0.3%)

Memory

-41.8MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
cost-diff	1	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
cost-diff	2	(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	11	13
1	16	13
2	22	13
3	30	13
4	38	13
0	38	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
y

Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(*.f64 y #s(literal 3/8 binary64))
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3/8 binary64)
#s(literal 3 binary64)
#s(literal 8 binary64)
y

localize19.0ms (0.7%)

Memory

29.2MiB live, 29.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
accuracy	0.0	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
accuracy	0.12109375	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Samples

10.0ms	226×	0	valid
1.0ms	11×	2	valid
1.0ms	8×	3	valid
1.0ms	11×	1	valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34.2% of total)

ival-sub: 2.0ms (34.2% of total)

ival-mult: 2.0ms (34.2% of total)

adjust: 1.0ms (17.1% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

4.8MiB live, 4.9MiB allocated

Counts

3 → 9

Calls

Call 1

Inputs
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)

Outputs
(* -3/8 y)
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+ x (* -3/8 y))
(* 3/8 y)
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
1.0ms	y	@	inf	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms	y	@	0	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms	x	@	inf	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms	x	@	0	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))

simplify192.0ms (6.6%)

Memory

1.1MiB live, 112.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	68	37
2	186	37
3	480	37
4	1096	37
5	2468	37
6	3263	37
7	3600	37
8	4833	37
9	6248	37
10	6532	37
11	6630	37
12	6630	37
13	6630	37
14	7087	37
15	7316	37
16	7370	37
17	7370	37
0	8806	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
(* -3/8 y)
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+ x (* -3/8 y))
(* 3/8 y)
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))

Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)

rewrite220.0ms (7.6%)

Memory

-9.0MiB live, 267.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
0	11	9
1	28	9
2	167	9
3	1702	9
0	9215	8

Stop Event

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

Counts

3 → 239

Calls

Call 1

Inputs
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)

Outputs
#s(literal 3/8 binary64)
(.f64 (/.f64 (fma.f64 #s(literal -27/512 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 9/64 binary64) (pow.f64 (.f64 y (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 2 binary64))))) (fma.f64 x x (.f64 (*.f64 #s(literal -3/8 binary64) y) (fma.f64 y #s(literal 3/8 binary64) x))))
(.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (.f64 y (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64))) (-.f64 (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -9/64 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal -9/64 binary64) (*.f64 y y)))) (fma.f64 #s(literal -3/8 binary64) y x))
(.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -9/64 binary64) (.f64 y y))) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 y #s(literal 3/8 binary64)) (-.f64 (.f64 y #s(literal 3/8 binary64)) x) (.f64 x x)))
(*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 y #s(literal 3/8 binary64) x)))
(.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64)) (.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64)) (.f64 x (*.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) #s(literal -3/8 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 y) #s(literal -3/8 binary64)) (.f64 (neg.f64 y) #s(literal -3/8 binary64)) (.f64 x (*.f64 (neg.f64 y) #s(literal -3/8 binary64))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -9/64 binary64) (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 27/512 binary64) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)))))))
(/.f64 (+.f64 (neg.f64 (.f64 x x)) (neg.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)))) (fma.f64 y #s(literal 3/8 binary64) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 #s(literal -3/8 binary64) y x))) (fma.f64 #s(literal -3/8 binary64) y x))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -9/64 binary64) (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 27/512 binary64) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 y #s(literal 3/8 binary64) x)) (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) y) x)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (fma.f64 y #s(literal 3/8 binary64) x)) (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (neg.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (fma.f64 y #s(literal 3/8 binary64) x)) (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 y #s(literal 3/8 binary64) x)) (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (neg.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)))) (.f64 (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)))
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(+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) x) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (.f64 y x) #s(literal -3/8 binary64))))) (/.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (.f64 #s(literal -3/8 binary64) y)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (*.f64 y x) #s(literal -3/8 binary64))))))
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(+.f64 (/.f64 (.f64 x (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (.f64 #s(literal -3/8 binary64) y)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) x) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) x) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (.f64 #s(literal -3/8 binary64) y)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 #s(literal -3/8 binary64) y)) (fma.f64 y #s(literal 3/8 binary64) x)) (/.f64 (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) x) (fma.f64 y #s(literal 3/8 binary64) x)))
(+.f64 (/.f64 (.f64 (fma.f64 y #s(literal 3/8 binary64) x) x) (fma.f64 y #s(literal 3/8 binary64) x)) (/.f64 (.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 #s(literal -3/8 binary64) y)) (fma.f64 y #s(literal 3/8 binary64) x)))
(+.f64 (/.f64 (.f64 x (fma.f64 y #s(literal 3/8 binary64) x)) (fma.f64 y #s(literal 3/8 binary64) x)) (/.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) (fma.f64 y #s(literal 3/8 binary64) x)) (fma.f64 y #s(literal 3/8 binary64) x)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) (fma.f64 y #s(literal 3/8 binary64) x)) (fma.f64 y #s(literal 3/8 binary64) x)) (/.f64 (*.f64 x (fma.f64 y #s(literal 3/8 binary64) x)) (fma.f64 y #s(literal 3/8 binary64) x)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)))) (/.f64 (.f64 x (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (.f64 x (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)))) (/.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (.f64 #s(literal -3/8 binary64) y)) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)))) (/.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) x) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) x) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)))) (/.f64 (.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (.f64 #s(literal -3/8 binary64) y)) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) (fma.f64 y #s(literal 3/8 binary64) x))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 x x (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) (fma.f64 y #s(literal 3/8 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 y #s(literal 3/8 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (.f64 (*.f64 y #s(literal 3/8 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 y #s(literal 3/8 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (.f64 y x) #s(literal -3/8 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (*.f64 y x) #s(literal -3/8 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (.f64 y x) #s(literal -3/8 binary64))))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (*.f64 y x) #s(literal -3/8 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (.f64 y x) #s(literal -3/8 binary64))))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) (.f64 y #s(literal 3/8 binary64))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (*.f64 y x) #s(literal -3/8 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (.f64 y x) #s(literal -3/8 binary64))))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (*.f64 y x) #s(literal -3/8 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))) (*.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))))
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (/.f64 (.f64 (neg.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64))) #s(literal 3/8 binary64)) (fma.f64 y #s(literal 3/8 binary64) x)))
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (/.f64 (.f64 (neg.f64 (*.f64 #s(literal 9/64 binary64) y)) y) (fma.f64 y #s(literal 3/8 binary64) x)))
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (/.f64 (.f64 (neg.f64 (*.f64 y y)) #s(literal 9/64 binary64)) (fma.f64 y #s(literal 3/8 binary64) x)))
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (/.f64 (.f64 #s(literal -9/64 binary64) (*.f64 y y)) (fma.f64 y #s(literal 3/8 binary64) x)))
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal -3/8 binary64) y)) (.f64 #s(literal -3/8 binary64) y)) (fma.f64 y #s(literal 3/8 binary64) x)))
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (/.f64 (.f64 (neg.f64 y) (*.f64 #s(literal 9/64 binary64) y)) (fma.f64 y #s(literal 3/8 binary64) x)))
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 (.f64 y y) #s(literal 3/8 binary64))) (fma.f64 y #s(literal 3/8 binary64) x)))
(+.f64 (.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))))
(+.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) (.f64 y #s(literal 3/8 binary64))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) (.f64 y #s(literal 3/8 binary64))) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(+.f64 (neg.f64 x) (*.f64 y #s(literal 3/8 binary64)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) #s(literal 3/8 binary64))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal -3/8 binary64))) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) y)) (sqrt.f64 #s(literal -3/8 binary64)))
(.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -3/8 binary64) y))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 (.f64 #s(literal -3/8 binary64) y)) (sqrt.f64 (*.f64 #s(literal -3/8 binary64) y)))
(.f64 (sqrt.f64 #s(literal -3/8 binary64)) (sqrt.f64 (.f64 y (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 (.f64 y #s(literal 3/8 binary64))) (sqrt.f64 (*.f64 y #s(literal 3/8 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) #s(literal 3/8 binary64))) (sqrt.f64 #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 #s(literal 3/8 binary64)) (sqrt.f64 (.f64 (*.f64 y y) #s(literal 3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (fabs.f64 y) #s(literal 3/8 binary64))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (fabs.f64 (fabs.f64 y)))
(*.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 3/8 binary64) (fabs.f64 y))
(*.f64 #s(literal 3/8 binary64) y)
(pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) y)))
(fabs.f64 (*.f64 #s(literal -3/8 binary64) y))
(fabs.f64 (*.f64 y #s(literal 3/8 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y #s(literal 3/8 binary64))))
(+.f64 (cosh.f64 (log.f64 (.f64 y #s(literal 3/8 binary64)))) (sinh.f64 (log.f64 (.f64 y #s(literal 3/8 binary64)))))

eval41.0ms (1.4%)

Memory: 10.3MiB live, 45.6MiB allocated
Compiler: Compiled 7 687 to 620 computations (91.9% saved)

prune3.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	240	2	242
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	241	2	243

Accuracy

100.0%

Counts

243 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
▶	54.4%	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify4.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 y #s(literal -3/8 binary64) x)
cost-diff	0	(*.f64 #s(literal -3/8 binary64) y)
cost-diff	0	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
0	15	20
1	20	20
2	26	20
3	36	20
4	41	20
0	41	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
#s(literal -3/8 binary64)
y
(fma.f64 y #s(literal -3/8 binary64) x)
y
#s(literal -3/8 binary64)
x

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
#s(literal -3/8 binary64)
y
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 #s(literal -3/8 binary64) y x)
y
#s(literal -3/8 binary64)
x

localize44.0ms (1.5%)

Memory

-20.1MiB live, 30.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y #s(literal -3/8 binary64) x)
accuracy	0.0	(*.f64 #s(literal -3/8 binary64) y)
accuracy	29.189578933088505	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Samples

15.0ms	226×	0	valid
2.0ms	8×	3	valid
2.0ms	11×	2	valid
1.0ms	11×	1	valid

Compiler

Compiled 45 to 24 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (37.5% of total)

ival-div: 2.0ms (18.7% of total)

ival-add: 2.0ms (18.7% of total)

ival-sub: 2.0ms (18.7% of total)

adjust: 1.0ms (9.4% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

3 → 8

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
(fma.f64 y #s(literal -3/8 binary64) x)

Outputs
(* -3/8 y)
(- x (* 3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))
0.0ms	y	@	-inf	((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))
0.0ms	y	@	0	((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))
0.0ms	x	@	0	((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))
0.0ms	x	@	-inf	((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))

simplify233.0ms (8%)

Memory

-0.4MiB live, 68.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	34
1	68	34
2	186	34
3	480	34
4	1096	34
5	2493	34
6	3288	34
7	3630	34
8	4865	34
9	6304	34
10	6590	34
11	6688	34
12	6688	34
13	6688	34
14	7135	34
15	7346	34
16	7400	34
17	7400	34
0	8836	28

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 7

Calls

Call 1

Inputs
(* -3/8 y)
(- x (* 3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))

Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)

rewrite169.0ms (5.8%)

Memory

3.6MiB live, 197.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
0	15	15
1	42	15
2	290	15
3	3218	15
0	9681	15

Stop Event

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

Counts

3 → 241

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
(fma.f64 y #s(literal -3/8 binary64) x)

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 (fabs.f64 (fabs.f64 y)) #s(literal 3/8 binary64))
(.f64 (sqrt.f64 #s(literal -3/8 binary64)) (sqrt.f64 (.f64 (*.f64 y y) #s(literal -3/8 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal -3/8 binary64) y)) (sqrt.f64 (*.f64 #s(literal -3/8 binary64) y)))
(.f64 (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) #s(literal -3/8 binary64))) (sqrt.f64 #s(literal -3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) #s(literal -3/8 binary64))) (sqrt.f64 #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 #s(literal 3/8 binary64)) (sqrt.f64 (.f64 (*.f64 y y) #s(literal -3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 #s(literal -3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -3/8 binary64))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -3/8 binary64))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -3/8 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (fabs.f64 y) #s(literal 3/8 binary64))
(*.f64 (neg.f64 y) #s(literal -3/8 binary64))
(*.f64 (neg.f64 y) #s(literal 3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -3/8 binary64) (neg.f64 y))
(*.f64 #s(literal -3/8 binary64) y)
(*.f64 y #s(literal -3/8 binary64))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (fabs.f64 (fabs.f64 y)))
(*.f64 #s(literal 3/8 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 3/8 binary64) (fabs.f64 y))
(*.f64 #s(literal 3/8 binary64) (neg.f64 y))
(*.f64 #s(literal 3/8 binary64) y)
(pow.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -3/8 binary64) y))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal -3/8 binary64) y))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -3/8 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -3/8 binary64) y)))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal -3/8 binary64) y))) (sinh.f64 (log.f64 (.f64 #s(literal -3/8 binary64) y))))
(.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))
(.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 #s(literal -3/8 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 #s(literal -3/8 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 729/262144 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x))
(.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))
(*.f64 (fma.f64 #s(literal -3/8 binary64) y x) (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 #s(literal -3/8 binary64) y x)))
(.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -3/8 binary64) y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -3/8 binary64) y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -3/8 binary64) y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -3/8 binary64) y x))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -9/64 binary64) (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -9/64 binary64) (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 19683/134217728 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -3/8 binary64) y x)) (.f64 (fma.f64 #s(literal -3/8 binary64) y x) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64))))) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) y x)) (.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 x x)))) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) (.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -3/8 binary64) y x)) (.f64 (fma.f64 #s(literal -3/8 binary64) y x) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) y x)) (.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) y x) (.f64 (fma.f64 #s(literal -3/8 binary64) y x) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -3/8 binary64) y x)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) y x) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) y x)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (pow.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 729/262144 binary64) (pow.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 9 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 729/262144 binary64) (pow.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 729/262144 binary64) (pow.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 729/262144 binary64) (pow.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x)) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9/64 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -3/8 binary64) y x)) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 y (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -3/8 binary64) y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3/2 binary64))) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))))
(-.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 #s(literal -3/8 binary64) y x)))
(-.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64)))
(-.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))))
(+.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))))
(+.f64 (neg.f64 x) (*.f64 #s(literal -3/8 binary64) y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (neg.f64 x))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) #s(literal -3/8 binary64)))
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))

eval36.0ms (1.2%)

Memory: -9.1MiB live, 81.8MiB allocated
Compiler: Compiled 5 965 to 567 computations (90.5% saved)

prune4.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	242	1	243
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	242	3	245

Accuracy

100.0%

Counts

245 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
▶	1.9%	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
✓	54.4%	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Compiler

Compiled 26 to 24 computations (7.7% saved)

simplify4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y #s(literal 3/8 binary64))
cost-diff	0	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
0	11	14
1	16	14
2	22	14
3	30	14
4	38	14
0	38	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))
y
#s(literal 3/8 binary64)

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))
y
#s(literal 3/8 binary64)

localize22.0ms (0.8%)

Memory

-9.1MiB live, 29.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y #s(literal 3/8 binary64))
accuracy	62.760692172430886	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))

Samples

14.0ms	226×	0	valid
1.0ms	11×	2	valid
1.0ms	8×	3	valid
1.0ms	11×	1	valid

Compiler

Compiled 30 to 21 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (38.4% of total)

ival-mult: 3.0ms (28.8% of total)

ival-sub: 2.0ms (19.2% of total)

adjust: 1.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

2 → 9

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))

Outputs
(* -3/8 y)
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+ x (* -3/8 y))
(* 3/8 y)
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	((- x (* (/ 3 8) y)) (* y 3/8))
0.0ms	y	@	-inf	((- x (* (/ 3 8) y)) (* y 3/8))
0.0ms	x	@	inf	((- x (* (/ 3 8) y)) (* y 3/8))
0.0ms	x	@	-inf	((- x (* (/ 3 8) y)) (* y 3/8))
0.0ms	y	@	0	((- x (* (/ 3 8) y)) (* y 3/8))

simplify211.0ms (7.3%)

Memory

-3.7MiB live, 77.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	68	37
2	186	37
3	480	37
4	1096	37
5	2468	37
6	3263	37
7	3600	37
8	4833	37
9	6248	37
10	6532	37
11	6630	37
12	6630	37
13	6630	37
14	7087	37
15	7316	37
16	7370	37
17	7370	37
0	8806	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
(* -3/8 y)
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+ x (* -3/8 y))
(* 3/8 y)
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))

Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)

rewrite227.0ms (7.8%)

Memory

29.9MiB live, 254.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
0	11	12
1	28	12
2	167	12
3	1694	12
0	9222	11

Stop Event

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

Counts

2 → 34

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) #s(literal 3/8 binary64))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal -3/8 binary64))) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) y)) (sqrt.f64 #s(literal -3/8 binary64)))
(.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -3/8 binary64) y))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 (.f64 #s(literal -3/8 binary64) y)) (sqrt.f64 (*.f64 #s(literal -3/8 binary64) y)))
(.f64 (sqrt.f64 #s(literal -3/8 binary64)) (sqrt.f64 (.f64 y (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 (.f64 y #s(literal 3/8 binary64))) (sqrt.f64 (*.f64 y #s(literal 3/8 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) #s(literal 3/8 binary64))) (sqrt.f64 #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 #s(literal 3/8 binary64)) (sqrt.f64 (.f64 (*.f64 y y) #s(literal 3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (fabs.f64 y) #s(literal 3/8 binary64))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (fabs.f64 (fabs.f64 y)))
(*.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 3/8 binary64) (fabs.f64 y))
(*.f64 #s(literal 3/8 binary64) y)
(pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) y)))
(fabs.f64 (*.f64 #s(literal -3/8 binary64) y))
(fabs.f64 (*.f64 y #s(literal 3/8 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y #s(literal 3/8 binary64))))
(+.f64 (cosh.f64 (log.f64 (.f64 y #s(literal 3/8 binary64)))) (sinh.f64 (log.f64 (.f64 y #s(literal 3/8 binary64)))))

eval17.0ms (0.6%)

Memory: -29.1MiB live, 7.4MiB allocated
Compiler: Compiled 537 to 122 computations (77.3% saved)

prune2.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	37	3	40

Accuracy

100.0%

Counts

40 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
✓	1.9%	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
✓	54.4%	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes8.0ms (0.3%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)

Calls

4 calls:

2.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
2.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
100.0%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes61.0ms (2.1%)

Memory

-19.9MiB live, 44.7MiB allocated

Accuracy

Total -33.9b remaining (-116.3%)

Threshold costs -33.9b (-116.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Calls

4 calls:

31.0ms	y
26.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
1.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Results

Accuracy	Segments	Branch
54.4%	1	`x`
54.4%	1	`y`
54.4%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
54.4%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify15.0ms (0.5%)

Memory

-18.4MiB live, 20.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	16	13
2	25	13
3	35	13
4	43	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

soundness435.0ms (15%)

Memory

9.0MiB live, 204.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	68	37
2	186	37
3	480	37
4	1096	37
5	2468	37
6	3263	37
7	3600	37
8	4833	37
9	6248	37
10	6532	37
11	6630	37
12	6630	37
13	6630	37
14	7087	37
15	7316	37
16	7370	37
17	7370	37
0	8806	31
0	7	9
0	11	9
1	28	9
2	167	9
3	1702	9
0	9215	8

Stop Event

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

Compiler

Compiled 29 to 24 computations (17.2% saved)

preprocess19.0ms (0.7%)

Memory: -0.1MiB live, 36.2MiB allocated
Compiler: Compiled 44 to 36 computations (18.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample737.0ms (25.5%)

explain120.0ms (4.2%)

preprocess35.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.3%)

localize19.0ms (0.7%)

series3.0ms (0.1%)

simplify192.0ms (6.6%)

rewrite220.0ms (7.6%)

eval41.0ms (1.4%)

prune3.0ms (0.1%)

simplify4.0ms (0.1%)

localize44.0ms (1.5%)

series2.0ms (0.1%)

simplify233.0ms (8%)

rewrite169.0ms (5.8%)

eval36.0ms (1.2%)

prune4.0ms (0.1%)

simplify4.0ms (0.1%)

localize22.0ms (0.8%)

series2.0ms (0.1%)

simplify211.0ms (7.3%)

rewrite227.0ms (7.8%)

eval17.0ms (0.6%)

prune2.0ms (0.1%)

regimes8.0ms (0.3%)

regimes61.0ms (2.1%)

simplify15.0ms (0.5%)

soundness435.0ms (15%)

preprocess19.0ms (0.7%)

end0.0ms (0%)

Profiling