Metrics for Linear.V2:$cdot from linear-1.19.1.3, A

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample767.0ms (16.9%)

Memory

12.3MiB live, 1 199.3MiB allocated

Samples

470.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

ival-mult: 220.0ms (83.1% of total)

ival-add: 36.0ms (13.6% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess30.0ms (0.7%)

Memory

-7.7MiB live, 33.8MiB allocated

Algorithm

2×	egg-herbie

Rules

136×	`unsub-neg`
92×	`associate-r`
74×	`distribute-lft-neg-out`
70×	`distribute-lft-neg-in`
64×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	113
1	76	105
2	131	105
3	297	105
4	444	105
5	574	105
6	624	105
7	642	105
0	7	7
1	10	7
0	10	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (* x y) (* z t))

Outputs
(+ (* x y) (* z t))
(fma.f64 x y (*.f64 z t))

Call 2

Inputs
(+ (* x y) (* z t))
(+ (* (neg x) y) (* z t))
(+ (* x (neg y)) (* z t))
(+ (* x y) (* (neg z) t))
(+ (* x y) (* z (neg t)))
(neg (+ (* (neg x) y) (* z t)))
(neg (+ (* x (neg y)) (* z t)))
(neg (+ (* x y) (* (neg z) t)))
(neg (+ (* x y) (* z (neg t))))
(+ (* y x) (* z t))
(+ (* z y) (* x t))
(+ (* t y) (* z x))
(+ (* x z) (* y t))
(+ (* x t) (* z y))
(+ (* x y) (* t z))

Outputs
(+ (* x y) (* z t))
(+ (* (neg x) y) (* z t))
(- (* z t) (* x y))
(+ (* x (neg y)) (* z t))
(- (* z t) (* x y))
(+ (* x y) (* (neg z) t))
(- (* x y) (* z t))
(+ (* x y) (* z (neg t)))
(- (* x y) (* z t))
(neg (+ (* (neg x) y) (* z t)))
(- (* x y) (* z t))
(neg (+ (* x (neg y)) (* z t)))
(- (* x y) (* z t))
(neg (+ (* x y) (* (neg z) t)))
(- (* z t) (* x y))
(neg (+ (* x y) (* z (neg t))))
(- (* z t) (* x y))
(+ (* y x) (* z t))
(+ (* x y) (* z t))
(+ (* z y) (* x t))
(+ (* y z) (* x t))
(+ (* t y) (* z x))
(+ (* x z) (* y t))
(+ (* x z) (* y t))
(+ (* x t) (* z y))
(+ (* y z) (* x t))
(+ (* x y) (* t z))
(+ (* x y) (* z t))

Symmetry

(sort x y)

(sort z t)

explain77.0ms (1.7%)

Memory

1.6MiB live, 152.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(+.f64 (.f64 x y) (.f64 z t))`
0	-	-	`y`
0	-	-	`t`
0	-	-	`(*.f64 z t)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z t))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	38
↳	`(*.f64 z t)`	overflow	29

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions

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

ival-mult: 7.0ms (73.4% of total)

ival-add: 2.0ms (21% of total)

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

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

eval0.0ms (0%)

Memory: 2.8MiB live, 2.8MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z t)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 z t))

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`accelerator-lowering-fma.f32`
8×	`accelerator-lowering-fma.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	10	17
0	10	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x y) (* z t))
(* x y)
x
y
(* z t)
z
t

Outputs
(+ (* x y) (* z t))
(fma.f64 x y (*.f64 z t))
(* x y)
(*.f64 x y)
x
y
(* z t)
(*.f64 z t)
z
t

localize21.0ms (0.5%)

Memory

11.8MiB live, 49.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.3%	(+.f64 (.f64 x y) (.f64 z t))

Samples

15.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-mult: 4.0ms (81.4% of total)

ival-add: 1.0ms (20.4% of total)

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

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

series6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

3 → 96

Calls

Call 1

Inputs
#<alt (+ (* x y) (* z t))>
#<alt (* x y)>
#<alt (* z t)>

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

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* x y)
0.0ms	z	@	0	(+ (* x y) (* z t))
0.0ms	x	@	0	(+ (* x y) (* z t))
0.0ms	x	@	-inf	(+ (* x y) (* z t))
0.0ms	z	@	inf	(+ (* x y) (* z t))

rewrite784.0ms (17.2%)

Memory

-116.8MiB live, 1 003.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 460×	`accelerator-lowering-fma.f32`
11 460×	`accelerator-lowering-fma.f64`
4 138×	`-lowering-.f32`
4 138×	`-lowering-.f64`
4 012×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	23	13
2	179	13
3	1840	13
0	8232	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 175

Calls

Call 1

Inputs
(+ (* x y) (* z t))
(* x y)
(* z t)

Outputs
(+.f64 (.f64 x y) (.f64 z t))
(+.f64 (.f64 z t) (.f64 x y))
(+.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t)))))
(+.f64 (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 z t) (.f64 x y))) (neg.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 z t) (.f64 x y)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 z t)))) #s(literal -1 binary64)))
(-.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 z t)))
(-.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x y (*.f64 z t))))
(-.f64 (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 z t) (.f64 x y))) (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 z t) (.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y))))) (-.f64 (.f64 x (.f64 y (.f64 y (.f64 x (.f64 x y))))) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t))))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t))) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))) (-.f64 (.f64 x (.f64 y (.f64 y (.f64 x (.f64 x y))))) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t))))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y))))) (fma.f64 (.f64 t (.f64 t (.f64 z z))) (fma.f64 t (.f64 t (.f64 z z)) (.f64 y (.f64 x (.f64 x y)))) (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y)))))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (/.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t))) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))) (fma.f64 (.f64 t (.f64 t (.f64 z z))) (fma.f64 t (.f64 t (.f64 z z)) (.f64 y (.f64 x (.f64 x y)))) (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y)))))) (-.f64 (.f64 x y) (.f64 z t))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y)))) (fma.f64 t (.f64 t (.f64 z z)) (.f64 y (.f64 x (.f64 x y))))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (/.f64 (.f64 (.f64 z t) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))) (fma.f64 t (.f64 t (.f64 z z)) (.f64 y (.f64 x (.f64 x y))))) (-.f64 (.f64 x y) (.f64 z t))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)))))) (-.f64 #s(literal 0 binary64) (fma.f64 x y (*.f64 z t))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (.f64 z t))) (-.f64 #s(literal 0 binary64) (fma.f64 x y (.f64 z t))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y))))) (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)))) (-.f64 (.f64 x (.f64 y (.f64 y (.f64 x (.f64 x y))))) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))))) (/.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t))) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))) (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)))) (-.f64 (.f64 x (.f64 y (.f64 y (.f64 x (.f64 x y))))) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y))))) (.f64 (-.f64 (.f64 x y) (.f64 z t)) (fma.f64 (.f64 t (.f64 t (.f64 z z))) (fma.f64 t (.f64 t (.f64 z z)) (.f64 y (.f64 x (.f64 x y)))) (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y))))))) (/.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t))) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))) (.f64 (-.f64 (.f64 x y) (.f64 z t)) (fma.f64 (.f64 t (.f64 t (.f64 z z))) (fma.f64 t (.f64 t (.f64 z z)) (.f64 y (.f64 x (.f64 x y)))) (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y))))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y)))) (.f64 (-.f64 (.f64 x y) (.f64 z t)) (fma.f64 t (.f64 t (.f64 z z)) (.f64 y (.f64 x (.f64 x y)))))) (/.f64 (.f64 (.f64 z t) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))) (.f64 (-.f64 (.f64 x y) (.f64 z t)) (fma.f64 t (.f64 t (.f64 z z)) (.f64 y (.f64 x (.f64 x y)))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))) (.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 (.f64 (-.f64 (.f64 x y) (.f64 z t)) (.f64 t (.f64 t (.f64 z z)))) (.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))) (.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))))) (fma.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))) (fma.f64 (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))) (.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))))))) (/.f64 (.f64 (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))) (.f64 (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))))) (fma.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))) (fma.f64 (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))) (.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 (.f64 x y) (.f64 z t)))) (fma.f64 x (/.f64 (.f64 y (.f64 x y)) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))))) (/.f64 (.f64 (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t)))) (fma.f64 x (/.f64 (.f64 y (.f64 x y)) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (.f64 z t))))))
(fma.f64 x y (*.f64 z t))
(fma.f64 x (/.f64 (.f64 y (.f64 x y)) (-.f64 (.f64 x y) (.f64 z t))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (*.f64 z t)))))
(fma.f64 y x (*.f64 z t))
(fma.f64 y (/.f64 (.f64 x (.f64 x y)) (-.f64 (.f64 x y) (.f64 z t))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (*.f64 z t)))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z t))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 t (.f64 t (.f64 z z))) (-.f64 (.f64 x y) (*.f64 z t)))))
(fma.f64 z t (*.f64 x y))
(fma.f64 t z (*.f64 x y))
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(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
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(*.f64 x y)
(*.f64 y x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(exp.f64 (log.f64 (*.f64 z t)))
(exp.f64 (.f64 (log.f64 (.f64 z t)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z t)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z t)))
(pow.f64 (*.f64 z t) #s(literal 1 binary64))
(*.f64 z t)
(*.f64 t z)
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 z t)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 t #s(literal 1 binary64)))
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))

simplify184.0ms (4.1%)

Memory

12.8MiB live, 368.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 166×	`accelerator-lowering-fma.f32`
4 166×	`accelerator-lowering-fma.f64`
2 650×	`-lowering-.f32`
2 650×	`-lowering-.f64`
1 394×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	432
1	149	432
2	468	432
3	1237	432
4	3337	432
5	5648	432
6	7136	432
0	8051	396

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* t z)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* x y)
(* x (+ y (/ (* t z) x)))
(* x (+ y (/ (* t z) x)))
(* x (+ y (/ (* t z) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* t z)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* x y)
(* y (+ x (/ (* t z) y)))
(* y (+ x (/ (* t z) y)))
(* y (+ x (/ (* t z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* x y)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* t z)
(* z (+ t (/ (* x y) z)))
(* z (+ t (/ (* x y) z)))
(* z (+ t (/ (* x y) z)))
(* t z)
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* x y)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* t z)
(* t (+ z (/ (* x y) t)))
(* t (+ z (/ (* x y) t)))
(* t (+ z (/ (* x y) t)))
(* t z)
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* 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)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)

Outputs
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))

eval29.0ms (0.6%)

Memory: 9.4MiB live, 84.7MiB allocated
Compiler: Compiled 11 242 to 487 computations (95.7% saved)

prune31.0ms (0.7%)

Memory

-8.3MiB live, 77.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	267	4	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	268	4	272

Accuracy

100.0%

Counts

272 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 z t (*.f64 x y))
▶	99.2%	(fma.f64 y x (*.f64 z t))
▶	54.1%	(fma.f64 x y #s(literal 0 binary64))
▶	50.5%	(fma.f64 t z #s(literal 0 binary64))

Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(fma.f64 z t (*.f64 x y))
✓	cost-diff	-64	(*.f64 z t)
✓	cost-diff	0	(fma.f64 y x (*.f64 z t))
✓	cost-diff	0	(fma.f64 x y #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 t z #s(literal 0 binary64))

Rules

16×	`+-lowering-+.f64`
16×	`+-lowering-+.f32`
16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
8×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	19	40
2	22	40
0	22	38

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* t z) 0)
t
z
0
(+ (* x y) 0)
x
y
0
(+ (* y x) (* z t))
y
x
(* z t)
z
t
(+ (* z t) (* x y))
z
t
(* x y)
x
y

Outputs
(+ (* t z) 0)
(fma.f64 t z #s(literal 0 binary64))
t
z
0
#s(literal 0 binary64)
(+ (* x y) 0)
(fma.f64 x y #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)
(+ (* y x) (* z t))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
y
x
(* z t)
(fma.f64 t z #s(literal 0 binary64))
z
t
(+ (* z t) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
z
t
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y

localize36.0ms (0.8%)

Memory

-1.7MiB live, 77.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(fma.f64 z t (*.f64 x y))
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	99.2%	(fma.f64 y x (*.f64 z t))
✓	accuracy	100.0%	(fma.f64 x y #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 t z #s(literal 0 binary64))

Samples

23.0ms

256×

valid

Compiler

Compiled 42 to 15 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (56.3% of total)

ival-add: 4.0ms (37.5% 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

5.5MiB live, 5.5MiB allocated

Counts

6 → 192

Calls

Call 1

Inputs
#<alt (+ (* t z) 0)>
#<alt (+ (* x y) 0)>
#<alt (+ (* y x) (* z t))>
#<alt (* z t)>
#<alt (+ (* z t) (* x y))>
#<alt (* x y)>

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

Calls

48 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(+ (* y x) (* z t))
0.0ms	x	@	-inf	(+ (* x y) 0)
0.0ms	t	@	inf	(+ (* t z) 0)
0.0ms	t	@	-inf	(+ (* t z) 0)
0.0ms	z	@	-inf	(+ (* t z) 0)

rewrite577.0ms (12.7%)

Memory

-36.9MiB live, 957.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 332×	`accelerator-lowering-fma.f32`
13 332×	`accelerator-lowering-fma.f64`
3 658×	`-lowering-.f32`
3 658×	`-lowering-.f64`
3 008×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	72	26
2	762	26
0	9563	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 1 222

Calls

Call 1

Inputs
(+ (* t z) 0)
(+ (* x y) 0)
(+ (* y x) (* z t))
(* z t)
(+ (* z t) (* x y))
(* x y)

Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 t z #s(literal 0 binary64)))
(+.f64 (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t z #s(literal 0 binary64))))
(-.f64 (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 z t #s(literal 0 binary64))
(fma.f64 (fma.f64 t z #s(literal 0 binary64)) (/.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64))) #s(literal 0 binary64))
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(.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) (*.f64 x x)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (*.f64 y y)))
(.f64 (/.f64 (.f64 y (.f64 y y)) y) (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 y (.f64 y y)) x) (/.f64 (.f64 x (*.f64 x x)) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (.f64 y (*.f64 y y)) x))
(.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (.f64 y (*.f64 y y)) y))
(*.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x y #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x y #s(literal 0 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 x x)) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y y)))
(.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 y y)) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x x)))
(*.f64 (/.f64 x x) (/.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 x x))
(*.f64 (/.f64 x y) (/.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 x y))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))))
(*.f64 (/.f64 y x) (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 y x))
(*.f64 (/.f64 y y) (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 y y))
(*.f64 (/.f64 y (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 y (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 x x) x) (/.f64 (*.f64 y y) y))
(.f64 (/.f64 (.f64 y y) y) (/.f64 (*.f64 x x) x))
(.f64 (/.f64 (.f64 x x) y) (/.f64 (*.f64 y y) x))
(.f64 (/.f64 (.f64 y y) x) (/.f64 (*.f64 x x) y))
(.f64 (/.f64 (.f64 x x) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 y y) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 y y) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))

simplify218.0ms (4.8%)

Memory

-7.3MiB live, 356.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 166×	`accelerator-lowering-fma.f32`
4 166×	`accelerator-lowering-fma.f64`
2 650×	`-lowering-.f32`
2 650×	`-lowering-.f64`
1 394×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	864
1	149	864
2	468	864
3	1237	864
4	3382	864
5	5694	864
6	7183	864
0	8042	792

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t 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)
(* t z)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* x y)
(* y (+ x (/ (* t z) y)))
(* y (+ x (/ (* t z) y)))
(* y (+ x (/ (* t z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* t z)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* x y)
(* x (+ y (/ (* t z) x)))
(* x (+ y (/ (* t z) x)))
(* x (+ y (/ (* t z) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* x y)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* t z)
(* z (+ t (/ (* x y) z)))
(* z (+ t (/ (* x y) z)))
(* z (+ t (/ (* x y) z)))
(* t z)
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* x y)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* t z)
(* t (+ z (/ (* x y) t)))
(* t (+ z (/ (* x y) t)))
(* t (+ z (/ (* x y) t)))
(* t z)
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* x y)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* t z)
(* z (+ t (/ (* x y) z)))
(* z (+ t (/ (* x y) z)))
(* z (+ t (/ (* x y) z)))
(* t z)
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* x y)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* t z)
(* t (+ z (/ (* x y) t)))
(* t (+ z (/ (* x y) t)))
(* t (+ z (/ (* x y) t)))
(* t z)
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* t z)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* x y)
(* x (+ y (/ (* t z) x)))
(* x (+ y (/ (* t z) x)))
(* x (+ y (/ (* t z) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* t z)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* x y)
(* y (+ x (/ (* t z) y)))
(* y (+ x (/ (* t z) y)))
(* y (+ x (/ (* t z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) 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)

Outputs
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))

eval217.0ms (4.8%)

Memory: 6.6MiB live, 350.1MiB allocated
Compiler: Compiled 38 292 to 1 376 computations (96.4% saved)

prune163.0ms (3.6%)

Memory

22.5MiB live, 376.6MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1 412	2	1 414
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	1 414	4	1 418

Accuracy

100.0%

Counts

1 418 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 z t (*.f64 x y))
✓	99.2%	(fma.f64 y x (*.f64 z t))
▶	50.5%	(*.f64 z t)
▶	54.1%	(*.f64 y x)

Compiler

Compiled 34 to 22 computations (35.3% saved)

simplify4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z t)
✓	cost-diff	0	(*.f64 y x)

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	8	10
0	8	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* y x)
y
x
(* z t)
z
t

Outputs
(* y x)
(*.f64 y x)
y
x
(* z t)
(*.f64 z t)
z
t

localize25.0ms (0.5%)

Memory

-6.9MiB live, 30.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(*.f64 y x)

Samples

20.0ms

256×

valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 12.0ms (96.1% of total)

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

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

series1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (* y x)>
#<alt (* z t)>

Outputs
#<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 (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* y x)
0.0ms	z	@	-inf	(* z t)
0.0ms	y	@	-inf	(* y x)
0.0ms	y	@	inf	(* y x)
0.0ms	t	@	-inf	(* z t)

rewrite8.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	8	6
0	8	6

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 4

Calls

Call 1

Inputs
(* y x)
(* z t)

Outputs
(*.f64 y x)
(*.f64 x y)
(*.f64 z t)
(*.f64 t z)

simplify35.0ms (0.8%)

Memory

-25.8MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	144
1	8	144
0	8	144

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 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)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)

Outputs
(* 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)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)

eval5.0ms (0.1%)

Memory: 10.9MiB live, 10.9MiB allocated
Compiler: Compiled 160 to 8 computations (95% saved)

prune3.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	52	4	56

Accuracy

100.0%

Counts

56 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 z t (*.f64 x y))
✓	99.2%	(fma.f64 y x (*.f64 z t))
✓	50.5%	(*.f64 z t)
✓	54.1%	(*.f64 y x)

Compiler

Compiled 71 to 35 computations (50.7% saved)

regimes45.0ms (1%)

Memory

-0.3MiB live, 42.9MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 z t)
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x (*.f64 z t))
(fma.f64 z t (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z t))

Outputs
(fma.f64 z t (*.f64 x y))

Calls

7 calls:

28.0ms	(+.f64 (.f64 x y) (.f64 z t))
3.0ms	y
3.0ms	x
3.0ms	t
3.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(+.f64 (.f64 x y) (.f64 z t))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(*.f64 z t)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes18.0ms (0.4%)

Memory

-2.6MiB live, 37.0MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 z t)
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x (*.f64 z t))

Outputs
(fma.f64 y x (*.f64 z t))

Calls

7 calls:

3.0ms	(*.f64 x y)
2.0ms	x
2.0ms	y
2.0ms	t
2.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`t`
99.2%	1	`(+.f64 (.f64 x y) (.f64 z t))`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(*.f64 z t)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes45.0ms (1%)

Memory

-6.0MiB live, 33.7MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 z t)
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))

Outputs
(*.f64 z t)
(*.f64 y x)
(*.f64 z t)

Calls

7 calls:

32.0ms	(+.f64 (.f64 x y) (.f64 z t))
2.0ms	t
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
72.7%	3	`x`
71.1%	3	`y`
72.5%	3	`z`
75.7%	3	`t`
59.8%	3	`(+.f64 (.f64 x y) (.f64 z t))`
79.9%	3	`(*.f64 x y)`
80.2%	3	`(*.f64 z t)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes35.0ms (0.8%)

Memory

-15.4MiB live, 24.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y x)

Outputs
(*.f64 y x)

Calls

7 calls:

27.0ms	y
1.0ms	(+.f64 (.f64 x y) (.f64 z t))
1.0ms	z
1.0ms	x
1.0ms	t

Results

Accuracy	Segments	Branch
54.1%	1	`(+.f64 (.f64 x y) (.f64 z t))`
54.1%	1	`y`
54.1%	1	`z`
54.1%	1	`x`
54.1%	1	`t`
54.1%	1	`(*.f64 x y)`
54.1%	1	`(*.f64 z t)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.0303038423846725e+115	1.4935200364970403e+116
0.0ms	-8.314508168628912e-46	-9.242371771664376e-51

Compiler

Compiled 14 to 14 computations (0% saved)

simplify7.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	20	34

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z t (*.f64 x y))
(fma.f64 y x (*.f64 z t))
(if (<=.f64 (.f64 z t) #s(literal -6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (.f64 z t) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) (.f64 y x) (*.f64 z t)))
(*.f64 y x)

Outputs
(fma.f64 z t (*.f64 x y))
(fma.f64 y x (*.f64 z t))
(if (<=.f64 (.f64 z t) #s(literal -6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (.f64 z t) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) (.f64 y x) (*.f64 z t)))
(if (<=.f64 (.f64 z t) #s(literal -6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (.f64 z t) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) (.f64 x y) (*.f64 z t)))
(*.f64 y x)
(*.f64 x y)

soundness1.1s (23.2%)

Memory

-31.7MiB live, 344.9MiB allocated

Rules

13 332×	`accelerator-lowering-fma.f32`
13 332×	`accelerator-lowering-fma.f64`
11 460×	`accelerator-lowering-fma.f32`
11 460×	`accelerator-lowering-fma.f64`
4 166×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	23	13
2	179	13
3	1840	13
0	8232	12
0	40	432
1	149	432
2	468	432
3	1237	432
4	3337	432
5	5648	432
6	7136	432
0	8051	396
0	13	26
1	72	26
2	762	26
0	9563	24

Stop Event

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

Compiler

Compiled 105 to 59 computations (43.8% saved)

preprocess111.0ms (2.4%)

Memory

16.2MiB live, 55.6MiB allocated

Remove

(sort z t)

(sort x y)

Compiler

Compiled 182 to 90 computations (50.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	37	113
1	76	105
2	131	105
3	297	105
4	444	105
5	574	105
6	624	105
7	642	105
0	7	7
1	10	7
0	10	6

Iter	Nodes	Cost
0	37	113
1	76	105
2	131	105
3	297	105
4	444	105
5	574	105
6	624	105
7	642	105
0	7	7
1	10	7
0	10	6

analyze0.0ms (0%)

sample767.0ms (16.9%)

preprocess30.0ms (0.7%)

explain77.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize21.0ms (0.5%)

series6.0ms (0.1%)

rewrite784.0ms (17.2%)

simplify184.0ms (4.1%)

eval29.0ms (0.6%)

prune31.0ms (0.7%)

simplify5.0ms (0.1%)

localize36.0ms (0.8%)

series3.0ms (0.1%)

rewrite577.0ms (12.7%)

simplify218.0ms (4.8%)

eval217.0ms (4.8%)

prune163.0ms (3.6%)

simplify4.0ms (0.1%)

localize25.0ms (0.5%)

series1.0ms (0%)

rewrite8.0ms (0.2%)

simplify35.0ms (0.8%)

eval5.0ms (0.1%)

prune3.0ms (0.1%)

regimes45.0ms (1%)

regimes18.0ms (0.4%)

regimes45.0ms (1%)

regimes35.0ms (0.8%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

soundness1.1s (23.2%)

preprocess111.0ms (2.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	37	113
1	76	105
2	131	105
3	297	105
4	444	105
5	574	105
6	624	105
7	642	105
0	7	7
1	10	7
0	10	6