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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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 11 to 11 computations (0% saved)

sample968.0ms (32%)

Memory

-12.9MiB live, 1 021.3MiB allocated

Samples

679.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 410.0ms

ival-div: 258.0ms (63% of total)

ival-mult: 94.0ms (23% of total)

ival-sub: 38.0ms (9.3% of total)

exact: 9.0ms (2.2% of total)

ival-true: 7.0ms (1.7% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain81.0ms (2.7%)

Memory

16.9MiB live, 185.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 8 binary64)`
-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
-	-	`z`
-	-	`(*.f64 x y)`
-	-	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
-	-	`(/.f64 z #s(literal 8 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

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

ival-div: 6.0ms (42.7% of total)

ival-mult: 4.0ms (28.5% of total)

ival-sub: 2.0ms (14.2% of total)

exact: 1.0ms (7.1% of total)

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

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

preprocess54.0ms (1.8%)

Memory

-1.9MiB live, 75.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	87
1	76	84
2	153	81
3	332	81
4	627	81
5	1090	81
6	1263	81
7	1293	81
8	1293	81
0	9	9
0	13	9
1	18	9
2	31	9
3	40	9
4	64	9
5	108	9
6	189	9
7	315	9
8	459	9
9	529	9
10	564	9
11	565	9
0	565	8

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))

Symmetry

(sort x y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Compiler

Compiled 9 to 9 computations (0% saved)

simplify21.0ms (0.7%)

Memory

-22.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	13	25
1	18	25
2	31	25
3	40	25
4	64	25
5	108	25
6	189	25
7	315	25
8	459	25
9	529	25
10	564	25
11	565	25
0	565	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
z
#s(literal 8 binary64)

localize23.0ms (0.7%)

Memory

1.3MiB live, 39.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0.0	(/.f64 z #s(literal 8 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (42.5% of total)

ival-mult: 2.0ms (28.3% of total)

ival-sub: 1.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

4 → 12

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))

Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	z	@	inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))

simplify109.0ms (3.6%)

Memory

11.4MiB live, 87.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	86
1	123	86
2	363	86
3	876	86
4	2044	86
5	4343	86
6	6734	86
0	8111	78

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* x y)
(*.f64 y x)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))

rewrite134.0ms (4.4%)

Memory

1.0MiB live, 110.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
0	13	20
1	56	20
2	486	20
0	8677	19

Stop Event

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

Counts

4 → 221

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))

Outputs
(.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))))))
(.f64 (fma.f64 (neg.f64 x) (.f64 y #s(literal 8 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal -1/16 binary64))
(.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal 2 binary64) (.f64 y x))) (.f64 (.f64 (*.f64 y x) z) #s(literal 1/16 binary64)))
(.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -8 binary64))))
(.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) z)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 8 binary64))))
(.f64 (fma.f64 (neg.f64 x) (.f64 y (/.f64 #s(literal 8 binary64) z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) z)))
(.f64 (fma.f64 (neg.f64 x) (.f64 y #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(.f64 (fma.f64 (.f64 y x) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) z)))
(.f64 (fma.f64 (.f64 y x) #s(literal -8 binary64) (*.f64 z #s(literal 2 binary64))) #s(literal -1/16 binary64))
(.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) #s(literal -1/64 binary64))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))) (pow.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 8 binary64) y) x (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) #s(literal -1/64 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64))))))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64))) (.f64 (.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (fma.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64) (.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64))))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 8 binary64) y) x (.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64)))
(neg.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 y x) #s(literal -1/2 binary64))))
(neg.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) z)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64)) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(fma.f64 (neg.f64 y) (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (neg.f64 z) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal 1/8 binary64) (neg.f64 z) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 (neg.f64 x) y) #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64) (neg.f64 (.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(fma.f64 z #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (.f64 (neg.f64 x) #s(literal -1/2 binary64)) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) z))
(-.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) x #s(literal 0 binary64)) (.f64 #s(literal 1/8 binary64) z))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 8 binary64)) z)) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 8 binary64)) z)))
(-.f64 (/.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -8 binary64))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (neg.f64 z)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -8 binary64))))
(-.f64 (/.f64 #s(literal 8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 8 binary64))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) z) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 8 binary64))))
(-.f64 (/.f64 (.f64 (neg.f64 x) (.f64 y (/.f64 #s(literal 8 binary64) z))) (/.f64 #s(literal -16 binary64) z)) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -16 binary64) z)))
(-.f64 (/.f64 (.f64 (neg.f64 x) (.f64 y #s(literal -8 binary64))) #s(literal 16 binary64)) (.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) z) (/.f64 #s(literal 16 binary64) z)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 16 binary64) z)))
(-.f64 (/.f64 (.f64 (.f64 y x) #s(literal -8 binary64)) #s(literal -16 binary64)) (.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))))
(-.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64)) (.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (fma.f64 (.f64 (.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64)) (neg.f64 (.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 #s(literal -1/8 binary64) z))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64)))
(.f64 (neg.f64 y) (.f64 x #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(.f64 (.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 y (.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(.f64 y (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(.f64 x (.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 y #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) x)
(.f64 (.f64 #s(literal 1 binary64) x) y)
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 y (.f64 x #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(.f64 x (.f64 y #s(literal 1 binary64)))
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/8 binary64) z)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) z))
(.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 1 binary64))
(*.f64 z #s(literal 1/8 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(/.f64 (neg.f64 z) #s(literal -8 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 z #s(literal 8 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/8 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal -1 binary64)))

eval38.0ms (1.2%)

Memory: -1.0MiB live, 35.7MiB allocated
Compiler: Compiled 4 162 to 616 computations (85.2% saved)

prune4.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	224	2	226
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	225	2	227

Accuracy

100.0%

Counts

227 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
▶	54.3%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify19.0ms (0.6%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	37
0	19	37
1	30	37
2	48	37
3	57	37
4	82	37
5	128	37
6	218	37
7	366	36
8	567	36
9	611	36
10	644	36
11	645	36
0	645	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
x
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
x
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z

localize67.0ms (2.2%)

Memory

-10.0MiB live, 38.1MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
accuracy	0.0	(*.f64 y #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	0.0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	29.218785937974086	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Samples

59.0ms

256×

valid

Compiler

Compiled 36 to 17 computations (52.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (47.5% of total)

ival-div: 3.0ms (23.8% of total)

ival-sub: 1.0ms (7.9% of total)

ival-add: 1.0ms (7.9% of total)

exact: 1.0ms (7.9% of total)

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

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

series19.0ms (0.6%)

Memory

-31.4MiB live, 5.4MiB allocated

Counts

4 → 11

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(*.f64 y #s(literal 1/2 binary64))

Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* 1/2 y)
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	z	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* y 1/2) x) (* -1/8 z)) (* y 1/2))
1.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* y 1/2) x) (* -1/8 z)) (* y 1/2))
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* y 1/2) x) (* -1/8 z)) (* y 1/2))
0.0ms	y	@	0	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* y 1/2) x) (* -1/8 z)) (* y 1/2))
0.0ms	z	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* y 1/2) x) (* -1/8 z)) (* y 1/2))

simplify107.0ms (3.5%)

Memory

37.5MiB live, 73.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	83
1	123	83
2	359	83
3	873	83
4	2029	83
5	4354	83
6	6739	83
0	8116	75

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* 1/2 y)
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))

rewrite165.0ms (5.5%)

Memory

-10.7MiB live, 104.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	27
0	19	27
1	79	26
2	719	26
0	8905	26

Stop Event

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

Counts

4 → 173

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(*.f64 y #s(literal 1/2 binary64))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) z))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal -1 binary64))
(/.f64 (neg.f64 z) #s(literal 8 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 8 binary64) z)))
(/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/64 binary64) (.f64 z z) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/8 binary64) z)))))
(/.f64 z #s(literal -8 binary64))
(neg.f64 (*.f64 #s(literal 1/8 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z (.f64 (.f64 y x) #s(literal -1/2 binary64)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))))))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (*.f64 #s(literal -2 binary64) z))) #s(literal -1/16 binary64))
(.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal 2 binary64) (.f64 y x))) (.f64 (.f64 (*.f64 y x) z) #s(literal 1/16 binary64)))
(.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -8 binary64))))
(.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) z)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 8 binary64))))
(.f64 (fma.f64 (.f64 (neg.f64 x) y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(.f64 (-.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal -8 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 1/16 binary64))
(.f64 (-.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z)) #s(literal -1/16 binary64))
(.f64 (fma.f64 (.f64 y x) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))))
(.f64 (-.f64 (.f64 (.f64 y x) #s(literal -8 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -1/16 binary64))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/64 binary64) (.f64 z z) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal -1/8 binary64)) z)))))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64)) (fma.f64 (.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64)) (.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) z (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z)))) #s(literal 16 binary64))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal 2 binary64) (.f64 y x)))) (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) z))))
(/.f64 (neg.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (neg.f64 z)))) (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -8 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) z))) (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 8 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (neg.f64 x) y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64))) (neg.f64 (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z)))) #s(literal -16 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))) #s(literal 16 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 y x) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y x) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z)))) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 16 binary64)) (.f64 #s(literal 16 binary64) (*.f64 z #s(literal 2 binary64)))) #s(literal 256 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 8 binary64) z))) (.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x))) (neg.f64 (/.f64 #s(literal 8 binary64) z))))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z)) (.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal 1 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) (neg.f64 z))) (.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -8 binary64)))
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(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))))
(+.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64)) (neg.f64 (.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 (neg.f64 y) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 y #s(literal 2 binary64))

eval39.0ms (1.3%)

Memory: 7.1MiB live, 45.1MiB allocated
Compiler: Compiled 3 763 to 512 computations (86.4% saved)

prune4.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	195	3	198

Accuracy

100.0%

Counts

198 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/8 binary64) z))

▶

46.8%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

✓

54.3%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 36 to 33 computations (8.3% saved)

simplify179.0ms (5.9%)

Memory

-132.4MiB live, 41.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
0	15	26
1	23	26
2	43	26
3	54	26
4	79	26
5	123	26
6	204	26
7	330	26
8	504	26
9	560	26
10	593	26
11	594	26
0	594	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
#s(literal 1/2 binary64)
(*.f64 y x)
y
x

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
#s(literal 1/2 binary64)
(*.f64 y x)
y
x

localize49.0ms (1.6%)

Memory

-39.4MiB live, 44.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
accuracy	34.02732510755836	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Samples

39.0ms

256×

valid

Compiler

Compiled 22 to 14 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 27.0ms (84.8% of total)

ival-div: 3.0ms (9.4% of total)

ival-sub: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

3 → 11

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 y x)

Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))

simplify125.0ms (4.1%)

Memory

20.2MiB live, 94.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	83
1	123	83
2	363	83
3	874	83
4	2047	83
5	4351	83
6	6740	83
0	8119	75

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))

rewrite150.0ms (5%)

Memory

-0.5MiB live, 111.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
0	15	23
1	61	23
2	513	23
0	8932	22

Stop Event

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

Counts

3 → 55

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 y x)

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64)))
(.f64 (neg.f64 y) (.f64 x #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(.f64 (.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 y (.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(.f64 y (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) x)
(.f64 (.f64 #s(literal 1 binary64) x) y)
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 y (.f64 x #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(.f64 x (.f64 y #s(literal 1 binary64)))
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))

eval6.0ms (0.2%)

Memory: 11.1MiB live, 11.1MiB allocated
Compiler: Compiled 991 to 182 computations (81.6% saved)

prune4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	59	3	62

Accuracy

100.0%

Counts

62 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/8 binary64) z))

✓

46.8%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

✓

54.3%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 81 to 57 computations (29.6% saved)

regimes23.0ms (0.8%)

Memory

-14.7MiB live, 24.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Outputs
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))

Calls

7 calls:

12.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes10.0ms (0.3%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Outputs

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

Calls

7 calls:

1.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms	(/.f64 z #s(literal 8 binary64))
1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
76.5%	3	`x`
72.9%	3	`y`
76.4%	3	`z`
66.5%	3	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
81.5%	3	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
81.5%	3	`(*.f64 x y)`
76.4%	3	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes39.0ms (1.3%)

Memory

-20.7MiB live, 28.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Calls

7 calls:

13.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
1.0ms	z
1.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms	(/.f64 z #s(literal 8 binary64))
1.0ms	x

Results

Accuracy	Segments	Branch
54.3%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
54.3%	1	`y`
54.3%	1	`z`
54.3%	1	`(/.f64 z #s(literal 8 binary64))`
54.3%	1	`x`
54.3%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
54.3%	1	`(*.f64 x y)`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.0817445382714463e+43	1.4269133197684526e+44
0.0ms	-3.217250645510882e+38	-2.0851423583227744e+36

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify56.0ms (1.9%)

Memory

-8.8MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	62
1	33	62
2	45	62
3	56	62
4	88	62
5	134	62
6	250	62
7	690	62
8	2076	62
9	6747	62

Stop Event

1×	node limit

Calls

Call 1

Inputs

(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/8 binary64) z))

(if (<=.f64 (*.f64 x y) #s(literal -199999999999999995497619646912068059136 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (*.f64 x y) #s(literal 50000000000000004410680702653211320350932992 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Outputs
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(if (<=.f64 (.f64 x y) #s(literal -199999999999999995497619646912068059136 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (if (<=.f64 (.f64 x y) #s(literal 50000000000000004410680702653211320350932992 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(if (or (<=.f64 (.f64 x y) #s(literal -199999999999999995497619646912068059136 binary64)) (not (<=.f64 (.f64 x y) #s(literal 50000000000000004410680702653211320350932992 binary64)))) #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

soundness476.0ms (15.7%)

Memory

-8.8MiB live, 226.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
0	13	20
1	56	20
2	486	20
0	8677	19
0	42	86
1	123	86
2	363	86
3	876	86
4	2044	86
5	4343	86
6	6734	86
0	8111	78
0	42	83
1	123	83
2	359	83
3	873	83
4	2029	83
5	4354	83
6	6739	83
0	8116	75

Stop Event

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

Compiler

Compiled 93 to 61 computations (34.4% saved)

preprocess44.0ms (1.4%)

Memory: 30.3MiB live, 71.5MiB allocated
Remove: (sort x y)
Compiler: Compiled 158 to 86 computations (45.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	25
0	13	25
1	18	25
2	31	25
3	40	25
4	64	25
5	108	25
6	189	25
7	315	25
8	459	25
9	529	25
10	564	25
11	565	25
0	565	24

Iter	Nodes	Cost
0	15	37
0	19	37
1	30	37
2	48	37
3	57	37
4	82	37
5	128	37
6	218	37
7	366	36
8	567	36
9	611	36
10	644	36
11	645	36
0	645	36

Iter	Nodes	Cost
0	13	26
0	15	26
1	23	26
2	43	26
3	54	26
4	79	26
5	123	26
6	204	26
7	330	26
8	504	26
9	560	26
10	593	26
11	594	26
0	594	25

Iter	Nodes	Cost
0	9	25
0	13	25
1	18	25
2	31	25
3	40	25
4	64	25
5	108	25
6	189	25
7	315	25
8	459	25
9	529	25
10	564	25
11	565	25
0	565	24

Iter	Nodes	Cost
0	15	37
0	19	37
1	30	37
2	48	37
3	57	37
4	82	37
5	128	37
6	218	37
7	366	36
8	567	36
9	611	36
10	644	36
11	645	36
0	645	36

Iter	Nodes	Cost
0	13	26
0	15	26
1	23	26
2	43	26
3	54	26
4	79	26
5	123	26
6	204	26
7	330	26
8	504	26
9	560	26
10	593	26
11	594	26
0	594	25

start0.0ms (0%)

analyze0.0ms (0%)

sample968.0ms (32%)

explain81.0ms (2.7%)

preprocess54.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.7%)

localize23.0ms (0.7%)

series7.0ms (0.2%)

simplify109.0ms (3.6%)

rewrite134.0ms (4.4%)

eval38.0ms (1.2%)

prune4.0ms (0.1%)

simplify19.0ms (0.6%)

localize67.0ms (2.2%)

series19.0ms (0.6%)

simplify107.0ms (3.5%)

rewrite165.0ms (5.5%)

eval39.0ms (1.3%)

prune4.0ms (0.1%)

simplify179.0ms (5.9%)

localize49.0ms (1.6%)

series4.0ms (0.1%)

simplify125.0ms (4.1%)

rewrite150.0ms (5%)

eval6.0ms (0.2%)

prune4.0ms (0.1%)

regimes23.0ms (0.8%)

regimes10.0ms (0.3%)

regimes39.0ms (1.3%)

bsearch1.0ms (0%)

simplify56.0ms (1.9%)

soundness476.0ms (15.7%)

preprocess44.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	25
0	13	25
1	18	25
2	31	25
3	40	25
4	64	25
5	108	25
6	189	25
7	315	25
8	459	25
9	529	25
10	564	25
11	565	25
0	565	24

Iter	Nodes	Cost
0	15	37
0	19	37
1	30	37
2	48	37
3	57	37
4	82	37
5	128	37
6	218	37
7	366	36
8	567	36
9	611	36
10	644	36
11	645	36
0	645	36

Iter	Nodes	Cost
0	13	26
0	15	26
1	23	26
2	43	26
3	54	26
4	79	26
5	123	26
6	204	26
7	330	26
8	504	26
9	560	26
10	593	26
11	594	26
0	594	25