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

analyze1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample734.0ms (21.5%)

Memory

-10.5MiB live, 1 364.2MiB allocated

Samples

468.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-div: 117.0ms (46% of total)

ival-mult: 67.0ms (26.3% of total)

ival-sub: 52.0ms (20.4% of total)

exact: 9.0ms (3.5% of total)

ival-true: 6.0ms (2.4% of total)

ival-assert: 4.0ms (1.6% of total)

Bogosity

preprocess61.0ms (1.8%)

Memory

-8.1MiB live, 107.7MiB allocated

Algorithm

1×	egg-herbie

Rules

352×	`lower-fma.f64`
352×	`lower-fma.f32`
256×	`lower-*.f32`
254×	`lower-*.f64`
172×	`unsub-neg`

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

Symmetry

(sort x y)

explain190.0ms (5.6%)

Memory

-9.6MiB live, 156.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 78 to 40 computations (48.7% saved)

Precisions

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

ival-div: 6.0ms (43.5% of total)

ival-mult: 4.0ms (29% of total)

ival-sub: 2.0ms (14.5% of total)

exact: 1.0ms (7.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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 12 to 9 computations (25% saved)

simplify29.0ms (0.8%)

Memory

-10.0MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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))

Rules

352×	`lower-fma.f64`
352×	`lower-fma.f32`
256×	`lower-*.f32`
254×	`lower-*.f64`
88×	`distribute-lft-neg-in`

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

localize26.0ms (0.8%)

Memory

5.0MiB live, 42.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 z #s(literal 8 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 3.0ms (44.9% of total)

ival-mult: 2.0ms (29.9% of total)

ival-sub: 1.0ms (15% 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

14.4MiB live, 14.4MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

24 calls:

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

rewrite306.0ms (8.9%)

Memory

4.9MiB live, 391.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 312×	`lower-fma.f64`
5 312×	`lower-fma.f32`
4 784×	`lower-*.f32`
4 782×	`lower-*.f64`
3 460×	`lower-/.f32`

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

simplify203.0ms (5.9%)

Memory

-1.6MiB live, 278.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 218×	`lower-fma.f64`
4 218×	`lower-fma.f32`
3 690×	`lower-*.f64`
3 690×	`lower-*.f32`
2 036×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	508
1	123	508
2	350	508
3	861	508
4	1961	508
5	4019	508
6	6382	508
0	8114	481

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval37.0ms (1.1%)

Memory: -17.5MiB live, 102.1MiB allocated
Compiler: Compiled 5 156 to 611 computations (88.1% saved)

prune31.0ms (0.9%)

Memory

5.8MiB live, 84.8MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	314	3	317
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	315	3	318

Accuracy

100.0%

Counts

318 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
▶	51.0%	(*.f64 z #s(literal -1/8 binary64))
▶	50.4%	(.f64 #s(literal 1/2 binary64) (.f64 x y))

Compiler

Compiled 25 to 19 computations (24% saved)

simplify6.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

28×	`lower-*.f32`
20×	`lower-*.f64`
16×	`lower-fma.f32`
14×	`lower-fma.f64`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
0	16	35
1	25	35
2	28	35
0	28	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize135.0ms (4%)

Memory

-4.0MiB live, 38.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(*.f64 z #s(literal -1/8 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 z #s(literal -1/8 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x y))

Samples

19.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

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

ival-mult: 7.0ms (77.4% of total)

ival-add: 1.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>

Calls

27 calls:

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

rewrite534.0ms (15.6%)

Memory

25.4MiB live, 462.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 462×	`lower-fma.f32`
14 460×	`lower-fma.f64`
5 120×	`lower-*.f32`
5 112×	`lower-*.f64`
3 620×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
0	16	22
1	38	22
2	212	22
3	2149	22
0	8285	22

Stop Event

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

Counts

5 → 207

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(pow.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 x y) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 x y) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (pow.f64 (.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) y))) (exp.f64 (log.f64 x)))
(.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) y))))
(.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (.f64 x y))))
(.f64 (exp.f64 (log.f64 (.f64 x y))) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 x y)
(*.f64 y x)
(exp.f64 (log.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) #s(literal -1/8 binary64))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 #s(literal -1/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1/8 binary64))) (exp.f64 (log.f64 z)))
(+.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y)) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (/.f64 (.f64 z (.f64 z #s(literal 1/64 binary64))) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/2 binary64) x) (*.f64 z #s(literal -1/8 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y)) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x)))) (/.f64 (.f64 z (.f64 z #s(literal 1/64 binary64))) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (/.f64 (.f64 z (.f64 z #s(literal 1/64 binary64))) (fma.f64 z #s(literal -1/8 binary64) (.f64 (.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y)) (fma.f64 z #s(literal -1/8 binary64) (.f64 (.f64 x y) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x))))) (/.f64 (fma.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 (.f64 z z) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 z #s(literal 1/8 binary64) (.f64 y (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)))) (fma.f64 z (.f64 z #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x)))))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/262144 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)))) (fma.f64 z (.f64 z #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x)))))))
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(.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/512 binary64)) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) #s(literal -1/134217728 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/512 binary64)) (-.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/512 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal -1/262144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 z (*.f64 z z)) #s(literal 1/512 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal -1/262144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y))) (.f64 (.f64 z (.f64 z #s(literal 1/64 binary64))) (fma.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 z (*.f64 z #s(literal 1/64 binary64))))))))
(.f64 (.f64 (.f64 (fma.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 z (.f64 z #s(literal 1/64 binary64)))) (fma.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 (.f64 z z) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 z (.f64 z #s(literal 1/64 binary64))))))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/512 binary64))) (.f64 (fma.f64 z (.f64 z #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x))))) (-.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y)) (.f64 z (-.f64 (.f64 z #s(literal 1/64 binary64)) (.f64 (.f64 x y) #s(literal -1/16 binary64))))))) (-.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y)) (.f64 z (-.f64 (.f64 z #s(literal 1/64 binary64)) (.f64 (.f64 x y) #s(literal -1/16 binary64))))))
(.f64 (/.f64 (fma.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 (.f64 z z) #s(literal -1/64 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)))) (fma.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 z (fma.f64 z #s(literal 1/64 binary64) (.f64 (.f64 x y) #s(literal -1/16 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal -1/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y))) (.f64 (.f64 z (.f64 z #s(literal 1/64 binary64))) (fma.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 z (.f64 z #s(literal 1/64 binary64))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x))) (.f64 (fma.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 z (.f64 z #s(literal 1/64 binary64)))) (fma.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 (.f64 z z) #s(literal -1/64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) (.f64 z (*.f64 z #s(literal 1/64 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 z #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x))))) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/512 binary64)) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) #s(literal -1/134217728 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/512 binary64)) (-.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/512 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 z #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) (fma.f64 z #s(literal 1/8 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) x))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal -1/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))

simplify439.0ms (12.8%)

Memory

-13.2MiB live, 261.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 892×	`lower-fma.f64`
5 892×	`lower-fma.f32`
3 664×	`lower-*.f64`
3 664×	`lower-*.f32`
2 122×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	544
1	119	544
2	351	544
3	814	544
4	1718	544
5	3600	544
6	6211	544
0	8198	517

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval51.0ms (1.5%)

Memory: 14.1MiB live, 52.1MiB allocated
Compiler: Compiled 11 476 to 567 computations (95.1% saved)

prune67.0ms (2%)

Memory

-9.6MiB live, 46.8MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	336	3	339

Accuracy

100.0%

Counts

339 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
✓	51.0%	(*.f64 z #s(literal -1/8 binary64))
✓	50.4%	(.f64 #s(literal 1/2 binary64) (.f64 x y))

Compiler

Compiled 53 to 34 computations (35.8% saved)

regimes25.0ms (0.7%)

Memory

-16.0MiB live, 21.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

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 44 to 33 computations (25% saved)

regimes12.0ms (0.3%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	x
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
75.6%	3	`x`
74.8%	3	`y`
76.8%	3	`z`
69.8%	5	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
83.3%	3	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
83.3%	3	`(*.f64 x y)`
76.8%	3	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes12.0ms (0.4%)

Memory

-21.8MiB live, 16.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 z #s(literal -1/8 binary64))

Outputs
(*.f64 z #s(literal -1/8 binary64))

Calls

7 calls:

4.0ms	(*.f64 x y)
1.0ms	(/.f64 z #s(literal 8 binary64))
1.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
1.0ms	y
1.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Results

Accuracy	Segments	Branch
51.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
51.0%	1	`y`
51.0%	1	`x`
51.0%	1	`z`
51.0%	1	`(/.f64 z #s(literal 8 binary64))`
51.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
51.0%	1	`(*.f64 x y)`

Compiler

Compiled 44 to 33 computations (25% saved)

bsearch24.0ms (0.7%)

Memory

22.9MiB live, 22.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.406895182545679e-82	2.652819094990984e-69
10.0ms	-1.4765188194826935e+52	-4.612982580843725e+48

Samples

12.0ms

288×

valid

Compiler

Compiled 267 to 231 computations (13.5% saved)

Precisions

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

ival-div: 3.0ms (56.8% of total)

ival-sub: 1.0ms (18.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify26.0ms (0.8%)

Memory

-29.6MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	20	36

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x y) #s(literal -17000000000000000258601501278655264854044779216896 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 242445077749771/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (*.f64 z #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))

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

Outputs
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -17000000000000000258601501278655264854044779216896 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 242445077749771/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(if (<=.f64 (.f64 y x) #s(literal -17000000000000000258601501278655264854044779216896 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x)) (if (<=.f64 (.f64 y x) #s(literal 242445077749771/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(*.f64 z #s(literal -1/8 binary64))

soundness423.0ms (12.4%)

Memory

16.5MiB live, 214.0MiB allocated

Rules

5 312×	`lower-fma.f64`
5 312×	`lower-fma.f32`
4 784×	`lower-*.f32`
4 782×	`lower-*.f64`
4 218×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
0	13	20
1	56	20
2	486	20
0	8677	19
0	42	508
1	123	508
2	350	508
3	861	508
4	1961	508
5	4019	508
6	6382	508
0	8114	481

Stop Event

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

Compiler

Compiled 70 to 40 computations (42.9% saved)

preprocess39.0ms (1.1%)

Memory: 13.3MiB live, 50.8MiB allocated
Remove: (sort x y)
Compiler: Compiled 124 to 66 computations (46.8% 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	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

analyze1.0ms (0%)

sample734.0ms (21.5%)

preprocess61.0ms (1.8%)

explain190.0ms (5.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.8%)

localize26.0ms (0.8%)

series7.0ms (0.2%)

rewrite306.0ms (8.9%)

simplify203.0ms (5.9%)

eval37.0ms (1.1%)

prune31.0ms (0.9%)

simplify6.0ms (0.2%)

localize135.0ms (4%)

series3.0ms (0.1%)

rewrite534.0ms (15.6%)

simplify439.0ms (12.8%)

eval51.0ms (1.5%)

prune67.0ms (2%)

regimes25.0ms (0.7%)

regimes12.0ms (0.3%)

regimes12.0ms (0.4%)

bsearch24.0ms (0.7%)

simplify26.0ms (0.8%)

soundness423.0ms (12.4%)

preprocess39.0ms (1.1%)

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