Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, G

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample620.0ms (13.4%)

Memory

47.9MiB live, 1 382.4MiB allocated

Samples

437.0ms	8 254×	0	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-add: 106.0ms (57.1% of total)

ival-mult: 67.0ms (36.1% of total)

ival-true: 6.0ms (3.2% of total)

exact: 5.0ms (2.7% of total)

ival-assert: 3.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess175.0ms (3.8%)

Memory

12.5MiB live, 83.6MiB allocated

Algorithm

2×	egg-herbie

Rules

1 636×	`unsub-neg`
664×	`distribute-lft-in`
642×	`sub-neg`
640×	`distribute-rgt-in`
460×	`distribute-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	75
1	110	71
2	411	70
3	1247	70
4	2930	70
5	4406	70
6	5331	70
7	5449	70
8	5459	70
9	5464	70
10	5539	70
11	5575	70
12	5575	70
13	5633	70
14	5633	70
0	7	7
1	18	7
2	46	7
3	95	7
4	181	7
5	223	7
6	223	7
0	223	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (+ x y) (+ z 1))

Outputs
(* (+ x y) (+ z 1))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Call 2

Inputs
(* (+ x y) (+ z 1))
(* (+ (neg x) y) (+ z 1))
(* (+ x (neg y)) (+ z 1))
(* (+ x y) (+ (neg z) 1))
(neg (* (+ (neg x) y) (+ z 1)))
(neg (* (+ x (neg y)) (+ z 1)))
(neg (* (+ x y) (+ (neg z) 1)))
(* (+ y x) (+ z 1))
(* (+ z y) (+ x 1))
(* (+ x z) (+ y 1))

Outputs
(* (+ x y) (+ z 1))
(* (+ (neg x) y) (+ z 1))
(* (+ z 1) (- y x))
(* (+ x (neg y)) (+ z 1))
(* (+ z 1) (- x y))
(* (+ x y) (+ (neg z) 1))
(* (+ x y) (- 1 z))
(neg (* (+ (neg x) y) (+ z 1)))
(* (+ z 1) (- x y))
(neg (* (+ x (neg y)) (+ z 1)))
(* (+ z 1) (- y x))
(neg (* (+ x y) (+ (neg z) 1)))
(* (+ x y) (+ z -1))
(* (+ y x) (+ z 1))
(* (+ x y) (+ z 1))
(* (+ z y) (+ x 1))
(* (+ y z) (+ x 1))
(* (+ x z) (+ y 1))

Symmetry

(sort x y)

explain98.0ms (2.1%)

Memory

0.2MiB live, 204.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
-	-	`(+.f64 z #s(literal 1 binary64))`
-	-	`y`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 x y)`
-	-	`z`
-	-	`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

51.0ms

512×

valid

Compiler

Compiled 58 to 32 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 31.0ms (85.5% of total)

ival-mult: 5.0ms (13.8% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify12.0ms (0.3%)

Memory

-8.1MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

296×	`accelerator-lowering-fma.f32`
296×	`accelerator-lowering-fma.f64`
104×	`+-lowering-+.f64`
104×	`+-lowering-+.f32`
92×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	18	17
2	46	17
3	95	17
4	181	17
5	223	17
6	223	17
0	223	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ x y) (+ z 1))
(+ x y)
x
y
(+ z 1)
z
1

Outputs
(* (+ x y) (+ z 1))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ x y)
(+.f64 x y)
x
y
(+ z 1)
(+.f64 z #s(literal 1 binary64))
z
1
#s(literal 1 binary64)

localize20.0ms (0.4%)

Memory

19.8MiB live, 57.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 z #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 3.0ms (67.2% of total)

ival-mult: 2.0ms (44.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-23.9MiB live, 12.8MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (* (+ x y) (+ z 1))>
#<alt (+ x y)>
#<alt (+ z 1)>

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

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(* (+ x y) (+ z 1))
0.0ms	x	@	inf	(* (+ x y) (+ z 1))
0.0ms	x	@	-inf	(* (+ x y) (+ z 1))
0.0ms	x	@	0	(* (+ x y) (+ z 1))
0.0ms	y	@	inf	(* (+ x y) (+ z 1))

rewrite643.0ms (13.9%)

Memory

-49.8MiB live, 769.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 398×	`-lowering-.f32`
4 398×	`-lowering-.f64`
3 796×	`accelerator-lowering-fma.f32`
3 796×	`accelerator-lowering-fma.f64`
3 164×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	43	13
2	364	13
3	5563	13
0	8638	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 415

Calls

Call 1

Inputs
(* (+ x y) (+ z 1))
(+ x y)
(+ z 1)

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

simplify333.0ms (7.2%)

Memory

7.6MiB live, 566.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 054×	`accelerator-lowering-fma.f32`
11 054×	`accelerator-lowering-fma.f64`
2 652×	`-lowering-.f32`
2 652×	`-lowering-.f64`
2 002×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	322
1	219	322
2	730	322
3	2461	322
4	4974	322
5	7661	322
0	8239	316

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval79.0ms (1.7%)

Memory: 16.8MiB live, 129.2MiB allocated
Compiler: Compiled 11 115 to 1 123 computations (89.9% saved)

prune66.0ms (1.4%)

Memory

-9.0MiB live, 147.4MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	483	4	487
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	483	5	488

Accuracy

100.0%

Counts

488 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(fma.f64 z x x)
▶	52.8%	(fma.f64 y z y)
▶	53.0%	(+.f64 y x)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
▶	47.8%	(*.f64 (+.f64 x y) z)

Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 z x x)
✓	cost-diff	(fma.f64 y z y)
✓	cost-diff	(+.f64 y x)
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(*.f64 (+.f64 x y) z)

Rules

60×	`-lowering-.f32`
60×	`-lowering-.f64`
52×	`accelerator-lowering-fma.f32`
52×	`accelerator-lowering-fma.f64`
20×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	18	30
2	25	30
3	32	30
4	38	30
5	51	30
6	56	30
7	60	30
0	60	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize33.0ms (0.7%)

Memory

-14.2MiB live, 69.5MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

24.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

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

ival-add: 6.0ms (53.5% of total)

ival-mult: 5.0ms (44.6% of total)

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

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

series6.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

5 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite491.0ms (10.6%)

Memory

19.9MiB live, 722.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 616×	`accelerator-lowering-fma.f32`
7 616×	`accelerator-lowering-fma.f64`
5 430×	`-lowering-.f32`
5 430×	`-lowering-.f64`
2 454×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	59	21
2	483	21
3	5258	21
0	8423	19

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 432

Calls

Call 1

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

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

simplify406.0ms (8.8%)

Memory

-41.8MiB live, 404.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 890×	`accelerator-lowering-fma.f32`
5 890×	`accelerator-lowering-fma.f64`
3 802×	`-lowering-.f32`
3 802×	`-lowering-.f64`
1 372×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	512
1	226	512
2	590	512
3	1627	512
4	3292	512
5	4322	512
6	5072	512
7	5747	512
8	5908	512
9	5926	512
10	6480	512
11	7749	512
0	8050	470

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval88.0ms (1.9%)

Memory: 35.8MiB live, 113.3MiB allocated
Compiler: Compiled 13 384 to 940 computations (93% saved)

prune83.0ms (1.8%)

Memory

-76.9MiB live, 172.7MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	560	4	564
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	560	9	569

Accuracy

100.0%

Counts

569 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(fma.f64 z x x)
✓	52.8%	(fma.f64 y z y)
✓	53.0%	(+.f64 y x)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
✓	47.8%	(*.f64 (+.f64 x y) z)
▶	23.5%	(*.f64 y z)
▶	27.8%	(*.f64 x z)
▶	31.3%	y
▶	23.2%	x

Compiler

Compiled 58 to 38 computations (34.5% saved)

simplify3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
1	7	12
0	7	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize17.0ms (0.4%)

Memory

-8.7MiB live, 30.5MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (85.7% of total)

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

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

series1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

2 → 48

Calls

Call 1

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

Outputs
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>

Calls

12 calls:

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

rewrite7.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB 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	5	6
1	7	6
0	7	6

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 4

Calls

Call 1

Inputs
(* x z)
(* y z)

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

simplify5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	144
1	7	144
0	7	144

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: -26.2MiB live, 12.8MiB allocated
Compiler: Compiled 159 to 7 computations (95.6% saved)

prune4.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	52	9	61

Accuracy

100.0%

Counts

61 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(fma.f64 z x x)
✓	52.8%	(fma.f64 y z y)
✓	53.0%	(+.f64 y x)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
✓	47.8%	(*.f64 (+.f64 x y) z)
✓	23.5%	(*.f64 y z)
✓	27.8%	(*.f64 x z)
✓	31.3%	y
✓	23.2%	x

Compiler

Compiled 92 to 51 computations (44.6% saved)

regimes24.0ms (0.5%)

Memory

5.1MiB live, 45.6MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)
(*.f64 x z)
(*.f64 y z)
(fma.f64 y z y)
(fma.f64 z x x)
(*.f64 (+.f64 x y) z)
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Calls

6 calls:

5.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(+.f64 x y)
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes21.0ms (0.5%)

Memory

9.3MiB live, 48.4MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
x
y
(+.f64 y x)
(*.f64 x z)
(*.f64 y z)
(fma.f64 y z y)
(fma.f64 z x x)
(*.f64 (+.f64 x y) z)

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

Calls

6 calls:

4.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
3.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
81.6%	2	`x`
83.3%	2	`y`
97.2%	3	`z`
84.2%	4	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
98.0%	2	`(+.f64 x y)`
97.2%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes74.0ms (1.6%)

Memory

-11.2MiB live, 28.0MiB allocated

Counts

6 → 4

Calls

Call 1

Inputs
x
y
(+.f64 y x)
(*.f64 x z)
(*.f64 y z)
(fma.f64 y z y)

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

Calls

6 calls:

60.0ms	z
3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	x
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
68.8%	3	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
69.7%	3	`x`
72.5%	4	`y`
81.7%	5	`z`
81.7%	5	`(+.f64 z #s(literal 1 binary64))`
81.6%	4	`(+.f64 x y)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes8.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

5 → 4

Calls

Call 1

Inputs
x
y
(+.f64 y x)
(*.f64 x z)
(*.f64 y z)

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

Calls

3 calls:

2.0ms	z
2.0ms	(+.f64 x y)
2.0ms	(+.f64 z #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
79.9%	4	`z`
79.9%	4	`(+.f64 z #s(literal 1 binary64))`
61.8%	4	`(+.f64 x y)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
x
y
(+.f64 y x)
(*.f64 x z)

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

Calls

2 calls:

2.0ms	z
2.0ms	(+.f64 z #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
77.6%	3	`z`
77.6%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.3%)

Memory

-12.6MiB live, 26.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

6 calls:

3.0ms	(+.f64 z #s(literal 1 binary64))
2.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
53.0%	1	`(+.f64 x y)`
53.0%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
53.0%	1	`x`
53.0%	1	`y`
53.0%	1	`z`
53.0%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes11.0ms (0.2%)

Memory

-17.7MiB live, 22.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

6 calls:

3.0ms	y
2.0ms	z
2.0ms	(+.f64 x y)
2.0ms	x
2.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
52.0%	2	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
51.6%	2	`(+.f64 x y)`
44.8%	2	`y`
44.6%	2	`x`
36.5%	4	`z`
31.3%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes8.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

6 calls:

1.0ms	y
1.0ms	z
1.0ms	(+.f64 x y)
1.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
23.2%	1	`(+.f64 z #s(literal 1 binary64))`
23.2%	1	`z`
23.2%	1	`x`
23.2%	1	`y`
23.2%	1	`(+.f64 x y)`
23.2%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.33562414629905e-257	1.7191748049243977e-262

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-2.33562414629905e-257	1.7191748049243977e-262
0.0ms	-9.020799735636304e+155	-1.134154705073132e+153
0.0ms	-1.0521931913439963e+219	-1.947629760106253e+217

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	39477972.55852344	246678803.89236572
0.0ms	-412.2378931882529	0.9031509764764807
0.0ms	-1.6225694866220047e+201	-7.575028184641625e+192

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	39477972.55852344	246678803.89236572
0.0ms	-412.2378931882529	0.9031509764764807

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7153371203291042e-209	1.7191748049243977e-262

Compiler

Compiled 13 to 13 computations (0% saved)

simplify10.0ms (0.2%)

Memory

-22.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`if-if-or-not_binary32`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	115
1	47	115

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (fma.f64 z x x) (fma.f64 y z y))
(if (<=.f64 (+.f64 x y) #s(literal -999999999999999965084388885482519417592855130626093842171043595190833186399051537317196816706799625297221478016185520727674168639944850288849622355474122345476546392575499689981548348018063279122228410984187505225498624 binary64)) (.f64 x z) (if (<=.f64 (+.f64 x y) #s(literal -499999999999999991679590111595860857280186137508735268183503807230234208750506277265738938472969370875618694172181552533767253674082286866732755185163042816 binary64)) (+.f64 y x) (if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (.f64 x z) (fma.f64 y z y))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1000000000000000037718785293056550291741793714171007924670336578563554653884390444993619046236149589293075414109087389699655531583234914810756005630018925423128793192791080866922220799992003324610084864 binary64)) (.f64 y z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -400 binary64)) (.f64 x z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000 binary64)) (+.f64 y x) (*.f64 x z))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -400 binary64)) (.f64 x z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000 binary64)) (+.f64 y x) (.f64 x z)))
(+.f64 y x)
(if (<=.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal -3701491575958035/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664 binary64)) x y)
x

Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (fma.f64 z x x) (fma.f64 y z y))
(if (<=.f64 (+.f64 x y) #s(literal -999999999999999965084388885482519417592855130626093842171043595190833186399051537317196816706799625297221478016185520727674168639944850288849622355474122345476546392575499689981548348018063279122228410984187505225498624 binary64)) (.f64 x z) (if (<=.f64 (+.f64 x y) #s(literal -499999999999999991679590111595860857280186137508735268183503807230234208750506277265738938472969370875618694172181552533767253674082286866732755185163042816 binary64)) (+.f64 y x) (if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (.f64 x z) (fma.f64 y z y))))
(if (<=.f64 (+.f64 x y) #s(literal -999999999999999965084388885482519417592855130626093842171043595190833186399051537317196816706799625297221478016185520727674168639944850288849622355474122345476546392575499689981548348018063279122228410984187505225498624 binary64)) (.f64 x z) (if (<=.f64 (+.f64 x y) #s(literal -499999999999999991679590111595860857280186137508735268183503807230234208750506277265738938472969370875618694172181552533767253674082286866732755185163042816 binary64)) (+.f64 x y) (if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (.f64 x z) (fma.f64 y z y))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1000000000000000037718785293056550291741793714171007924670336578563554653884390444993619046236149589293075414109087389699655531583234914810756005630018925423128793192791080866922220799992003324610084864 binary64)) (.f64 y z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -400 binary64)) (.f64 x z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000 binary64)) (+.f64 y x) (*.f64 x z))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1000000000000000037718785293056550291741793714171007924670336578563554653884390444993619046236149589293075414109087389699655531583234914810756005630018925423128793192791080866922220799992003324610084864 binary64)) (.f64 y z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -400 binary64)) (.f64 x z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000 binary64)) (+.f64 x y) (*.f64 x z))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -400 binary64)) (.f64 x z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000 binary64)) (+.f64 y x) (.f64 x z)))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -400 binary64)) (.f64 x z) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 50000000 binary64)) (+.f64 x y) (.f64 x z)))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal -3701491575958035/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664 binary64)) x y)
x

soundness1.1s (23.9%)

Memory

9.6MiB live, 367.9MiB allocated

Rules

11 054×	`accelerator-lowering-fma.f32`
11 054×	`accelerator-lowering-fma.f64`
5 890×	`accelerator-lowering-fma.f32`
5 890×	`accelerator-lowering-fma.f64`
3 802×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	322
1	219	322
2	730	322
3	2461	322
4	4974	322
5	7661	322
0	8239	316
0	65	512
1	226	512
2	590	512
3	1627	512
4	3292	512
5	4322	512
6	5072	512
7	5747	512
8	5908	512
9	5926	512
10	6480	512
11	7749	512
0	8050	470

Stop Event

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

Compiler

Compiled 253 to 118 computations (53.4% saved)

preprocess135.0ms (2.9%)

Memory: -8.6MiB live, 150.7MiB allocated
Remove: (sort x y)
Compiler: Compiled 324 to 122 computations (62.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample620.0ms (13.4%)

preprocess175.0ms (3.8%)

explain98.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.3%)

localize20.0ms (0.4%)

series6.0ms (0.1%)

rewrite643.0ms (13.9%)

simplify333.0ms (7.2%)

eval79.0ms (1.7%)

prune66.0ms (1.4%)

simplify6.0ms (0.1%)

localize33.0ms (0.7%)

series6.0ms (0.1%)

rewrite491.0ms (10.6%)

simplify406.0ms (8.8%)

eval88.0ms (1.9%)

prune83.0ms (1.8%)

simplify3.0ms (0.1%)

localize17.0ms (0.4%)

series1.0ms (0%)

rewrite7.0ms (0.2%)

simplify5.0ms (0.1%)

eval7.0ms (0.1%)

prune4.0ms (0.1%)

regimes24.0ms (0.5%)

regimes21.0ms (0.5%)

regimes74.0ms (1.6%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes13.0ms (0.3%)

regimes11.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

soundness1.1s (23.9%)

preprocess135.0ms (2.9%)

end0.0ms (0%)

Profiling