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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample969.0ms (32.5%)

Memory

-2.8MiB live, 1 225.7MiB allocated

Samples

675.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 438.0ms

ival-div: 237.0ms (54.2% of total)

ival-mult: 147.0ms (33.6% of total)

ival-sub: 37.0ms (8.5% of total)

exact: 8.0ms (1.8% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain226.0ms (7.6%)

Memory

16.1MiB live, 172.6MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`#s(literal 8 binary64)`
0	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
1	(-6.446433050535474e+205 4.66812215223754e-310 -1.0142786300052456e-128)	-	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
0	-	-	`(/.f64 z #s(literal 8 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

30.0ms

512×

valid

Compiler

Compiled 113 to 55 computations (51.3% saved)

Precisions

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

ival-div: 6.0ms (43.8% of total)

ival-mult: 4.0ms (29.2% of total)

ival-sub: 2.0ms (14.6% of total)

exact: 1.0ms (7.3% of total)

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

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

preprocess70.0ms (2.3%)

Memory

-23.7MiB live, 90.1MiB 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	616	81
5	1057	81
6	1210	81
7	1234	81
8	1234	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	312	9
8	447	9
9	514	9
10	549	9
11	550	9
0	550	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

1.3MiB live, 1.3MiB 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)

simplify20.0ms (0.7%)

Memory

9.2MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	128	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
cost-diff	384	(/.f64 z #s(literal 8 binary64))
cost-diff	384	(/.f64 (*.f64 x y) #s(literal 2 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	312	25
8	447	25
9	514	25
10	549	25
11	550	25
0	550	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)

localize29.0ms (1%)

Memory

-20.1MiB live, 37.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0	(/.f64 z #s(literal 8 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Samples

23.0ms

256×

valid

Compiler

Compiled 52 to 20 computations (61.5% saved)

Precisions

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

ival-div: 3.0ms (45.3% of total)

ival-mult: 2.0ms (30.2% of total)

ival-sub: 1.0ms (15.1% 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

11.1MiB live, 11.1MiB allocated

Counts

4 → 12

Calls

Call 1

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

Outputs
(* 1/2 (* x y))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 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)
(+ (* -1/8 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	z	@	0	((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))
1.0ms	x	@	0	((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))
1.0ms	x	@	-inf	((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))
1.0ms	y	@	-inf	((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))
1.0ms	z	@	inf	((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))

simplify199.0ms (6.7%)

Memory

19.1MiB live, 94.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	86
1	123	86
2	350	86
3	860	86
4	1961	86
5	4044	86
6	6408	86
0	8140	78

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite301.0ms (10.1%)

Memory

-4.8MiB live, 146.9MiB 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 x y) #s(literal 2 binary64))
(/.f64 z #s(literal 8 binary64))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 x y)

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

eval41.0ms (1.4%)

Memory: -17.7MiB live, 70.5MiB allocated
Compiler: Compiled 4 162 to 617 computations (85.2% saved)

prune4.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB 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 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
▶	53.8%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify20.0ms (0.7%)

Memory

-16.0MiB live, 23.1MiB 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 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.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	29	37
2	48	37
3	58	37
4	83	37
5	129	37
6	219	37
7	366	36
8	533	36
9	574	36
10	607	36
11	608	36
0	608	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 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(*.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 #s(literal 1/2 binary64) x) y (.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 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z

localize31.0ms (1%)

Memory

-1.1MiB live, 76.5MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	29.54872912920919	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Samples

23.0ms

256×

valid

Compiler

Compiled 73 to 32 computations (56.2% saved)

Precisions

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

ival-mult: 7.0ms (55.2% of total)

ival-div: 3.0ms (23.6% of total)

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

ival-add: 1.0ms (7.9% 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

10.8MiB live, 10.8MiB 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 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) x)

Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 x)
(* 1/2 (* 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)))))
(* 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)) (* -1/8 z) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
1.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
0.0ms	z	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
0.0ms	z	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))

simplify99.0ms (3.3%)

Memory

-5.4MiB live, 111.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	83
1	123	83
2	350	83
3	864	83
4	1978	83
5	4065	83
6	6426	83
0	8158	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)
(* 1/2 (* 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)))))
(* 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 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))

rewrite129.0ms (4.3%)

Memory

23.5MiB live, 144.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	27
0	19	27
1	78	26
2	721	26
0	8928	26

Stop Event

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

Counts

4 → 169

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

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 #s(literal 1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #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 #s(literal 1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #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 #s(literal 1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #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 #s(literal 1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #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)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) z)) (.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal 8 binary64)))
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(-.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 (.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 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 2 binary64))

eval24.0ms (0.8%)

Memory: -15.5MiB live, 60.7MiB allocated
Compiler: Compiled 3 717 to 500 computations (86.5% saved)

prune4.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	191	3	194

Accuracy

100.0%

Counts

194 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

▶

47.7%

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

✓

53.8%

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

Compiler

Compiled 36 to 33 computations (8.3% saved)

simplify20.0ms (0.7%)

Memory

-35.4MiB live, 14.0MiB 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	327	26
8	478	26
9	531	26
10	564	26
11	565	26
0	565	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

localize24.0ms (0.8%)

Memory

1.6MiB live, 40.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
accuracy	33.463880967236875	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Samples

19.0ms

256×

valid

Compiler

Compiled 48 to 27 computations (43.8% saved)

Precisions

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

ival-mult: 6.0ms (58.2% of total)

ival-div: 3.0ms (29.1% of total)

ival-sub: 1.0ms (9.7% 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

9.3MiB live, 9.3MiB 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	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
1.0ms	x	@	-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))
0.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))

simplify92.0ms (3.1%)

Memory

26.2MiB live, 102.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	83
1	123	83
2	350	83
3	860	83
4	1957	83
5	4036	83
6	6399	83
0	8130	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 #s(literal 1/2 binary64) (.f64 y x) (.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 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))

rewrite136.0ms (4.5%)

Memory

-11.6MiB live, 184.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
0	15	23
1	61	23
2	513	23
0	8939	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: 15.8MiB live, 15.8MiB allocated
Compiler: Compiled 991 to 182 computations (81.6% saved)

prune5.0ms (0.2%)

Memory

-29.5MiB live, 9.2MiB 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 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))

✓

47.7%

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

✓

53.8%

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

Compiler

Compiled 81 to 57 computations (29.6% saved)

regimes15.0ms (0.5%)

Memory

28.5MiB live, 28.5MiB 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 #s(literal 1/2 binary64) x) y (.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 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))

Calls

7 calls:

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	y
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)

regimes12.0ms (0.4%)

Memory

-16.5MiB live, 22.2MiB 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:

3.0ms	(/.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	y
2.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
77.0%	3	`x`
78.5%	3	`y`
73.5%	3	`z`
66.1%	3	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
82.6%	3	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
82.6%	3	`(*.f64 x y)`
73.5%	3	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes10.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB 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:

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

Results

Accuracy	Segments	Branch
53.8%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
53.8%	1	`z`
53.8%	1	`(/.f64 z #s(literal 8 binary64))`
53.8%	1	`x`
53.8%	1	`y`
53.8%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
53.8%	1	`(*.f64 x y)`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

bsearch1.0ms (0%)

Memory

-37.9MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.885183491595157e-24	3.837807890882813e-22
0.0ms	-7.758251388981383e+180	-1.7988295070476852e+180

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify27.0ms (0.9%)

Memory

-4.4MiB live, 40.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	76
1	29	76

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x y) #s(literal -4999999999999999585553957538234682623031908521243190731280622029050769299023221311090106282452153112010643128183281173566567741558550995545342934233953505409027770327939745014874112 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (*.f64 x y) #s(literal 5444517870735015/2722258935367507707706996859454145691648 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 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -4999999999999999585553957538234682623031908521243190731280622029050769299023221311090106282452153112010643128183281173566567741558550995545342934233953505409027770327939745014874112 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (if (<=.f64 (.f64 x y) #s(literal 5444517870735015/2722258935367507707706996859454145691648 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 (<=.f64 (.f64 y x) #s(literal -4999999999999999585553957538234682623031908521243190731280622029050769299023221311090106282452153112010643128183281173566567741558550995545342934233953505409027770327939745014874112 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 y x) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 z #s(literal -1/8 binary64))) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))

soundness427.0ms (14.3%)

Memory

26.8MiB live, 256.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	83
1	123	83
2	350	83
3	864	83
4	1978	83
5	4065	83
6	6426	83
0	8158	75
0	42	86
1	123	86
2	350	86
3	860	86
4	1961	86
5	4044	86
6	6408	86
0	8140	78
0	9	20
0	13	20
1	56	20
2	486	20
0	8677	19

Stop Event

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

Compiler

Compiled 107 to 59 computations (44.9% saved)

preprocess26.0ms (0.9%)

Memory: 7.1MiB live, 45.0MiB allocated
Remove: (sort x y)
Compiler: Compiled 218 to 114 computations (47.7% 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	312	25
8	447	25
9	514	25
10	549	25
11	550	25
0	550	24

Iter	Nodes	Cost
0	15	37
0	19	37
1	29	37
2	48	37
3	58	37
4	83	37
5	129	37
6	219	37
7	366	36
8	533	36
9	574	36
10	607	36
11	608	36
0	608	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	327	26
8	478	26
9	531	26
10	564	26
11	565	26
0	565	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	312	25
8	447	25
9	514	25
10	549	25
11	550	25
0	550	24

Iter	Nodes	Cost
0	15	37
0	19	37
1	29	37
2	48	37
3	58	37
4	83	37
5	129	37
6	219	37
7	366	36
8	533	36
9	574	36
10	607	36
11	608	36
0	608	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	327	26
8	478	26
9	531	26
10	564	26
11	565	26
0	565	25

start0.0ms (0%)

analyze0.0ms (0%)

sample969.0ms (32.5%)

explain226.0ms (7.6%)

preprocess70.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify20.0ms (0.7%)

localize29.0ms (1%)

series7.0ms (0.2%)

simplify199.0ms (6.7%)

rewrite301.0ms (10.1%)

eval41.0ms (1.4%)

prune4.0ms (0.1%)

simplify20.0ms (0.7%)

localize31.0ms (1%)

series4.0ms (0.1%)

simplify99.0ms (3.3%)

rewrite129.0ms (4.3%)

eval24.0ms (0.8%)

prune4.0ms (0.1%)

simplify20.0ms (0.7%)

localize24.0ms (0.8%)

series4.0ms (0.1%)

simplify92.0ms (3.1%)

rewrite136.0ms (4.5%)

eval6.0ms (0.2%)

prune5.0ms (0.2%)

regimes15.0ms (0.5%)

regimes12.0ms (0.4%)

regimes10.0ms (0.3%)

bsearch1.0ms (0%)

simplify27.0ms (0.9%)

soundness427.0ms (14.3%)

preprocess26.0ms (0.9%)

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	312	25
8	447	25
9	514	25
10	549	25
11	550	25
0	550	24

Iter	Nodes	Cost
0	15	37
0	19	37
1	29	37
2	48	37
3	58	37
4	83	37
5	129	37
6	219	37
7	366	36
8	533	36
9	574	36
10	607	36
11	608	36
0	608	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	327	26
8	478	26
9	531	26
10	564	26
11	565	26
0	565	25