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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 11 computations (0% saved)

sample863.0ms (24%)

Memory

24.2MiB live, 1 252.6MiB allocated

Samples

603.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 373.0ms

ival-mult: 180.0ms (48.3% of total)

ival-div: 134.0ms (35.9% of total)

ival-sub: 43.0ms (11.5% of total)

exact: 8.0ms (2.1% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess60.0ms (1.7%)

Memory

-2.0MiB live, 82.2MiB allocated

Algorithm

1×	egg-herbie

Rules

352×	`accelerator-lowering-fma.f32`
352×	`accelerator-lowering-fma.f64`
256×	`-lowering-.f32`
256×	`-lowering-.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
1	14	9
2	27	9
3	36	9
4	60	9
5	104	9
6	185	9
7	306	9
8	440	9
9	503	9
10	538	9
11	539	9
0	539	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

explain81.0ms (2.3%)

Memory

15.7MiB live, 174.1MiB 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

32.0ms

512×

valid

Compiler

Compiled 78 to 40 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 9.0ms (55.9% of total)

ival-mult: 4.0ms (24.8% of total)

ival-sub: 2.0ms (12.4% of total)

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

exact: 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

1.2MiB live, 1.2MiB 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)

simplify27.0ms (0.8%)

Memory

-10.9MiB live, 27.7MiB 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×	`accelerator-lowering-fma.f32`
352×	`accelerator-lowering-fma.f64`
256×	`-lowering-.f32`
256×	`-lowering-.f64`
88×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	14	25
2	27	25
3	36	25
4	60	25
5	104	25
6	185	25
7	306	25
8	440	25
9	503	25
10	538	25
11	539	25
0	539	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize70.0ms (1.9%)

Memory

-14.1MiB live, 61.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

59.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 47.0ms (91.4% of total)

ival-sub: 2.0ms (3.9% of total)

ival-mult: 2.0ms (3.9% 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

15.4MiB live, 15.4MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/ (* x y) 2)>
#<alt (/ z 8)>
#<alt (- (/ (* x y) 2) (/ z 8))>
#<alt (* 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	@	inf	(/ (* x y) 2)
1.0ms	x	@	0	(/ (* x y) 2)
1.0ms	y	@	inf	(/ (* x y) 2)

rewrite442.0ms (12.3%)

Memory

12.3MiB live, 440.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 312×	`accelerator-lowering-fma.f32`
5 312×	`accelerator-lowering-fma.f64`
4 784×	`-lowering-.f32`
4 784×	`-lowering-.f64`
3 460×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	52	20
2	482	20
0	8663	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 221

Calls

Call 1

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

simplify341.0ms (9.5%)

Memory

-0.6MiB live, 259.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 218×	`accelerator-lowering-fma.f32`
4 218×	`accelerator-lowering-fma.f64`
3 690×	`-lowering-.f32`
3 690×	`-lowering-.f64`
2 036×	`/-lowering-/.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)

eval35.0ms (1%)

Memory: -8.0MiB live, 107.5MiB allocated
Compiler: Compiled 5 156 to 606 computations (88.2% saved)

prune33.0ms (0.9%)

Memory

13.4MiB live, 92.9MiB 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)))
▶	56.4%	(*.f64 z #s(literal -1/8 binary64))
▶	45.0%	(.f64 #s(literal 1/2 binary64) (.f64 x y))

Compiler

Compiled 25 to 19 computations (24% saved)

simplify6.0ms (0.2%)

Memory

-20.2MiB live, 19.1MiB 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×	`-lowering-.f32`
28×	`-lowering-.f64`
16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	20	36
2	23	36
0	23	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize35.0ms (1%)

Memory

1.1MiB live, 80.9MiB 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

20.0ms

256×

valid

Compiler

Compiled 37 to 13 computations (64.9% saved)

Precisions

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

ival-mult: 7.0ms (76.3% of total)

ival-add: 1.0ms (10.9% 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

5.6MiB live, 5.6MiB allocated

Counts

5 → 108

Calls

Call 1

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

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))

rewrite830.0ms (23.1%)

Memory

-27.1MiB live, 676.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 462×	`accelerator-lowering-fma.f32`
14 462×	`accelerator-lowering-fma.f64`
5 120×	`-lowering-.f32`
5 120×	`-lowering-.f64`
3 620×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	33	23
2	207	23
3	2131	23
0	8296	22

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 207

Calls

Call 1

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

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

simplify207.0ms (5.8%)

Memory

-11.0MiB live, 387.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 892×	`accelerator-lowering-fma.f32`
5 892×	`accelerator-lowering-fma.f64`
3 664×	`-lowering-.f32`
3 664×	`-lowering-.f64`
2 122×	`/-lowering-/.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)

eval39.0ms (1.1%)

Memory: 12.6MiB live, 91.8MiB allocated
Compiler: Compiled 11 476 to 565 computations (95.1% saved)

prune33.0ms (0.9%)

Memory

0.6MiB live, 78.2MiB 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)))
✓	56.4%	(*.f64 z #s(literal -1/8 binary64))
✓	45.0%	(.f64 #s(literal 1/2 binary64) (.f64 x y))

Compiler

Compiled 53 to 34 computations (35.8% saved)

regimes18.0ms (0.5%)

Memory

-4.4MiB live, 41.0MiB 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:

4.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	z
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	(*.f64 x y)
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)

regimes13.0ms (0.4%)

Memory

-6.1MiB live, 32.8MiB 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:

3.0ms	z
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	(*.f64 x 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
75.1%	3	`x`
73.5%	3	`y`
72.2%	3	`z`
66.7%	3	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
81.0%	3	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
81.0%	3	`(*.f64 x y)`
72.2%	3	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes11.0ms (0.3%)

Memory

-7.2MiB live, 31.5MiB 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:

3.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms	x
1.0ms	(/.f64 z #s(literal 8 binary64))
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
56.4%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
56.4%	1	`z`
56.4%	1	`(/.f64 z #s(literal 8 binary64))`
56.4%	1	`y`
56.4%	1	`x`
56.4%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
56.4%	1	`(*.f64 x y)`

Compiler

Compiled 44 to 33 computations (25% saved)

bsearch25.0ms (0.7%)

Memory

27.5MiB live, 66.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	80.3707099448754	84023.56640086143
12.0ms	-6.196680031397893e-37	-3.675430825540304e-47

Samples

13.0ms

288×

valid

Compiler

Compiled 267 to 231 computations (13.5% saved)

Precisions

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

ival-div: 4.0ms (65.4% of total)

ival-sub: 2.0ms (32.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.2%)

Memory

-14.9MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	23	32

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 -5784976959332365/1606938044258990275541962092341162602522202993782792835301376 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 46000 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 -5784976959332365/1606938044258990275541962092341162602522202993782792835301376 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 46000 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(if (<=.f64 (.f64 y x) #s(literal -5784976959332365/1606938044258990275541962092341162602522202993782792835301376 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x)) (if (<=.f64 (.f64 y x) #s(literal 46000 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(*.f64 z #s(literal -1/8 binary64))

soundness365.0ms (10.2%)

Memory

-13.1MiB live, 268.6MiB allocated

Rules

5 312×	`accelerator-lowering-fma.f32`
5 312×	`accelerator-lowering-fma.f64`
4 784×	`-lowering-.f32`
4 784×	`-lowering-.f64`
4 218×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	52	20
2	482	20
0	8663	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

Compiler

Compiled 70 to 40 computations (42.9% saved)

preprocess36.0ms (1%)

Memory: 15.6MiB live, 94.7MiB 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
1	14	25
2	27	25
3	36	25
4	60	25
5	104	25
6	185	25
7	306	25
8	440	25
9	503	25
10	538	25
11	539	25
0	539	24

Iter	Nodes	Cost
0	9	25
1	14	25
2	27	25
3	36	25
4	60	25
5	104	25
6	185	25
7	306	25
8	440	25
9	503	25
10	538	25
11	539	25
0	539	24

analyze0.0ms (0%)

sample863.0ms (24%)

preprocess60.0ms (1.7%)

explain81.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.8%)

localize70.0ms (1.9%)

series7.0ms (0.2%)

rewrite442.0ms (12.3%)

simplify341.0ms (9.5%)

eval35.0ms (1%)

prune33.0ms (0.9%)

simplify6.0ms (0.2%)

localize35.0ms (1%)

series3.0ms (0.1%)

rewrite830.0ms (23.1%)

simplify207.0ms (5.8%)

eval39.0ms (1.1%)

prune33.0ms (0.9%)

regimes18.0ms (0.5%)

regimes13.0ms (0.4%)

regimes11.0ms (0.3%)

bsearch25.0ms (0.7%)

simplify9.0ms (0.2%)

soundness365.0ms (10.2%)

preprocess36.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	25
1	14	25
2	27	25
3	36	25
4	60	25
5	104	25
6	185	25
7	306	25
8	440	25
9	503	25
10	538	25
11	539	25
0	539	24