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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

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)

sample1.0s (44.8%)

Memory

7.7MiB live, 1 428.0MiB allocated; 361ms collecting garbage

Samples

581.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-div: 169.0ms (48.7% of total)

ival-mult: 116.0ms (33.4% of total)

ival-sub: 42.0ms (12.1% of total)

exact: 9.0ms (2.6% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain106.0ms (4.7%)

Memory

42.1MiB live, 218.3MiB allocated; 48ms collecting garbage

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

56.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sub: 18.0ms (61.1% of total)

ival-div: 6.0ms (20.4% of total)

ival-mult: 4.0ms (13.6% of total)

exact: 1.0ms (3.4% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess306.0ms (13.7%)

Memory

-33.6MiB live, 253.8MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	90
1	52	88
2	71	84
3	111	84
4	177	84
5	367	84
6	1725	84
7	5878	84
0	9	9
0	13	9
1	18	9
2	24	9
3	37	9
4	65	9
5	168	9
6	1047	9
7	5521	9
0	8425	9

Stop Event

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

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

Symmetry

(sort x y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

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)

series10.0ms (0.5%)

Memory

-7.4MiB live, 38.0MiB allocated; 4ms collecting garbage

Counts

9 → 16

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
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (/ z 8) #s(hole binary64 (* 1/8 z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -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)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)
1.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)
1.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)

simplify197.0ms (8.8%)

Memory

4.3MiB live, 345.2MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	214
1	153	214
2	476	214
3	1166	214
4	3410	214
5	6867	214
0	8181	206

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (/ z 8) #s(hole binary64 (* 1/8 z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))

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

rewrite49.0ms (2.2%)

Memory

26.4MiB live, 117.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	13	25
1	45	25
0	319	25

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

9 → 34

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 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z)) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.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 (-.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (-.f64 (.f64 (.f64 y x) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64)))) (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 16 binary64)) (/.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(*.f64 y x)
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 (neg.f64 (neg.f64 z)) #s(literal 8 binary64))
(/.f64 (neg.f64 z) #s(literal -8 binary64))
(/.f64 z #s(literal 8 binary64))
(neg.f64 (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(neg.f64 (/.f64 z #s(literal -8 binary64)))
z
#s(literal 8 binary64)

eval4.0ms (0.2%)

Memory: 12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 602 to 130 computations (78.4% saved)

prune2.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Accuracy

100.0%

Counts

44 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
▶	46.0%	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
▶	56.1%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Status

Accuracy

Program

▶

100.0%

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

▶

46.0%

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

▶

56.1%

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

Compiler

Compiled 46 to 40 computations (13% saved)

series16.0ms (0.7%)

Memory

-22.8MiB live, 30.3MiB allocated; 9ms collecting garbage

Counts

13 → 26

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) 1/2 (* y x) y x (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) 1/2 (* y x) y x (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
1.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) 1/2 (* y x) y x (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) 1/2 (* y x) y x (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))
1.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) 1/2 (* y x) y x (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x))

simplify163.0ms (7.3%)

Memory

-16.6MiB live, 214.6MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	382
1	173	382
2	508	382
3	1215	382
4	3282	382
5	6634	382
0	8846	358

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z))))
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1/8 z)))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y)))))
#s(approx (* -1/8 z) #s(hole binary64 (* -1/8 z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8))))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))))

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

rewrite38.0ms (1.7%)

Memory

24.3MiB live, 70.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
0	25	73
1	82	73
0	563	73

Stop Event

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

Counts

13 → 46

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
#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
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.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 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
z
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
#s(literal 1/2 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.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 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 z z) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 #s(literal 1/8 binary64) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (.f64 z z) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1/8 binary64)) z))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))))
(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 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 z #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (.f64 y x) #s(literal 1/2 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 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/8 binary64) z))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) z))) (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (neg.f64 z) #s(literal -1/8 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) x))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) y))
(-.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 (neg.f64 x) y) #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

eval6.0ms (0.3%)

Memory: 17.4MiB live, 17.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 448 to 184 computations (87.3% saved)

prune9.0ms (0.4%)

Memory

-23.3MiB live, 22.7MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	69	3	72

Accuracy

100.0%

Counts

72 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
✓	46.0%	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
✓	56.1%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Status

Accuracy

Program

✓

100.0%

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

✓

46.0%

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

✓

56.1%

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

Compiler

Compiled 101 to 65 computations (35.6% saved)

regimes24.0ms (1.1%)

Memory

-20.0MiB live, 42.0MiB allocated; 13ms collecting garbage

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

Calls

7 calls:

7.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Results

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

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes9.0ms (0.4%)

Memory

33.1MiB live, 33.1MiB allocated; 0ms collecting garbage

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)))

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

Results

Accuracy	Segments	Branch
74.4%	3	`(/.f64 z #s(literal 8 binary64))`
81.6%	3	`(*.f64 x y)`
81.6%	3	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
68.3%	3	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
72.6%	3	`x`
78.4%	3	`y`
74.4%	3	`z`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes9.0ms (0.4%)

Memory

-25.0MiB live, 21.8MiB allocated; 1ms collecting garbage

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:

2.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
1.0ms	(*.f64 x y)
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

Results

Accuracy	Segments	Branch
56.1%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
56.1%	1	`x`
56.1%	1	`(/.f64 z #s(literal 8 binary64))`
56.1%	1	`z`
56.1%	1	`y`
56.1%	1	`(*.f64 x y)`
56.1%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	10265994891300.36	55535054882669.375
0.0ms	-1.351368381629736e+34	-5.528566943553721e+30

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify40.0ms (1.8%)

Memory

-6.0MiB live, 40.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	76
1	35	76
2	41	76
3	55	76
4	95	76
5	433	76
6	3639	76

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -9999999999999999455752309870428160 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 20000000000000 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
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(if (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -9999999999999999455752309870428160 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (if (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 20000000000000 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 (.f64 x y) #s(literal 2 binary64)) #s(literal -9999999999999999455752309870428160 binary64)) (not (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 20000000000000 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))

derivations225.0ms (10.1%)

Memory

-3.1MiB live, 138.4MiB allocated; 15ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 76 to 29 computations (61.8% saved)

preprocess22.0ms (1%)

Memory: -2.7MiB live, 42.2MiB allocated; 7ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 206 to 106 computations (48.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (44.8%)

explain106.0ms (4.7%)

preprocess306.0ms (13.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series10.0ms (0.5%)

simplify197.0ms (8.8%)

rewrite49.0ms (2.2%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

series16.0ms (0.7%)

simplify163.0ms (7.3%)

rewrite38.0ms (1.7%)

eval6.0ms (0.3%)

prune9.0ms (0.4%)

regimes24.0ms (1.1%)

regimes9.0ms (0.4%)

regimes9.0ms (0.4%)

bsearch1.0ms (0%)

simplify40.0ms (1.8%)

derivations225.0ms (10.1%)

preprocess22.0ms (1%)

end0.0ms (0%)

Profiling