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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample606.0ms (7.4%)

Memory

17.8MiB live, 1 143.9MiB allocated

Samples

407.0ms	8 253×	0	valid
0.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-add: 81.0ms (39% of total)

ival-sub: 64.0ms (30.8% of total)

ival-mult: 50.0ms (24.1% of total)

exact: 5.0ms (2.4% of total)

ival-true: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess250.0ms (3.1%)

Memory

-6.9MiB live, 140.6MiB allocated

Algorithm

2×	egg-herbie

Rules

1 552×	`accelerator-lowering-fma.f32`
1 552×	`accelerator-lowering-fma.f64`
1 328×	`unsub-neg`
910×	`sub-neg`
658×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	75
1	69	71
2	233	70
3	841	70
4	2612	70
5	4416	70
6	5436	70
7	5690	70
8	5742	70
9	5765	70
10	5768	70
11	5831	70
12	5839	70
13	5839	70
14	5839	70
15	5877	70
16	5877	70
0	7	7
1	13	7
2	31	7
3	73	7
4	215	7
5	505	7
6	827	7
7	1313	7
8	1628	7
9	1685	7
10	1685	7
0	1685	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(sort x y)

explain67.0ms (0.8%)

Memory

1.8MiB live, 157.7MiB allocated

FPErrors

Click to see full error table

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

25.0ms

512×

valid

Compiler

Compiled 58 to 32 computations (44.8% saved)

Precisions

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

ival-sub: 3.0ms (33.5% of total)

ival-add: 3.0ms (33.5% of total)

ival-mult: 3.0ms (33.5% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify70.0ms (0.9%)

Memory

-0.9MiB live, 111.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

1 552×	`accelerator-lowering-fma.f32`
1 552×	`accelerator-lowering-fma.f64`
368×	`-lowering-.f32`
368×	`-lowering-.f64`
344×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	13	17
2	31	17
3	73	17
4	215	17
5	505	17
6	827	17
7	1313	17
8	1628	17
9	1685	17
10	1685	17
0	1685	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize20.0ms (0.2%)

Memory

4.8MiB live, 41.9MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-sub: 1.0ms (22.3% of total)

ival-add: 1.0ms (22.3% of total)

ival-mult: 1.0ms (22.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite564.0ms (6.9%)

Memory

-6.5MiB live, 590.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 758×	`-lowering-.f32`
5 758×	`-lowering-.f64`
3 972×	`/-lowering-/.f32`
3 972×	`/-lowering-/.f64`
2 508×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	38	13
2	304	13
3	4027	13
0	9593	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 835

Calls

Call 1

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

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

simplify308.0ms (3.8%)

Memory

-31.2MiB live, 381.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 146×	`accelerator-lowering-fma.f32`
12 146×	`accelerator-lowering-fma.f64`
2 722×	`-lowering-.f32`
2 722×	`-lowering-.f64`
2 196×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	326
1	213	326
2	682	326
3	2204	326
4	5160	326
5	7981	326
0	8697	326

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

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

eval111.0ms (1.4%)

Memory: 24.5MiB live, 255.4MiB allocated
Compiler: Compiled 38 524 to 2 733 computations (92.9% saved)

prune213.0ms (2.6%)

Memory

-10.2MiB live, 225.4MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	901	6	907
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	902	6	908

Accuracy

100.0%

Counts

908 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.5%	(/.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 z z))) (+.f64 #s(literal 1 binary64) z))
▶	58.7%	(-.f64 y (*.f64 y z))
▶	47.2%	(-.f64 x (*.f64 z x))
▶	48.3%	(+.f64 y x)
	54.4%	(*.f64 (+.f64 x y) (neg.f64 z))
▶	58.7%	(*.f64 y (-.f64 #s(literal 1 binary64) z))

Compiler

Compiled 110 to 72 computations (34.5% saved)

simplify253.0ms (3.1%)

Memory

8.7MiB live, 461.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(-.f64 y (*.f64 y z))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(-.f64 x (*.f64 z x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 z z))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 z z)))
✓	cost-diff	1216	(/.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 z z))) (+.f64 #s(literal 1 binary64) z))

Rules

9 622×	`accelerator-lowering-fma.f32`
9 622×	`accelerator-lowering-fma.f64`
2 196×	`-lowering-.f32`
2 196×	`-lowering-.f64`
1 516×	`+-lowering-+.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	41	76
2	92	76
3	181	76
4	483	76
5	1213	76
6	2657	70
7	4901	70
8	7187	70
0	8159	70

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize51.0ms (0.6%)

Memory

-18.8MiB live, 100.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(-.f64 y (*.f64 y z))
✓	accuracy	100.0%	(-.f64 x (*.f64 z x))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	97.0%	(.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	83.5%	(/.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 z z))) (+.f64 #s(literal 1 binary64) z))

Samples

32.0ms

256×

valid

Compiler

Compiled 78 to 19 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 8.0ms (45.1% of total)

ival-sub: 4.0ms (22.6% of total)

ival-add: 4.0ms (22.6% of total)

ival-div: 2.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

26.7MiB live, 26.7MiB allocated

Counts

13 → 288

Calls

Call 1

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

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

72 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (* (+ x y) (- 1 (* z z))) (+ 1 z))
1.0ms	z	@	-inf	(- 1 (* z z))
1.0ms	z	@	inf	(/ (* (+ x y) (- 1 (* z z))) (+ 1 z))
1.0ms	y	@	0	(/ (* (+ x y) (- 1 (* z z))) (+ 1 z))
0.0ms	x	@	inf	(/ (* (+ x y) (- 1 (* z z))) (+ 1 z))

rewrite1.2s (14.4%)

Memory

-10.2MiB live, 757.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 736×	`accelerator-lowering-fma.f32`
8 736×	`accelerator-lowering-fma.f64`
5 556×	`-lowering-.f32`
5 556×	`-lowering-.f64`
3 810×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	114	57
2	1033	57
0	8544	57

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1 329

Calls

Call 1

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

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

simplify294.0ms (3.6%)

Memory

-6.2MiB live, 583.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 120×	`accelerator-lowering-fma.f32`
9 120×	`accelerator-lowering-fma.f64`
3 180×	`-lowering-.f32`
3 180×	`-lowering-.f64`
1 704×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	1749
1	466	1548
2	1350	1536
3	5118	1536
0	8300	1524

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(/ (* y (- 1 (pow z 2))) (+ 1 z))
(+ (* x (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* y (- 1 (pow z 2))) (+ 1 z)))
(+ (* x (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* y (- 1 (pow z 2))) (+ 1 z)))
(+ (* x (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* y (- 1 (pow z 2))) (+ 1 z)))
(/ (* x (- 1 (pow z 2))) (+ 1 z))
(* x (- (+ (/ 1 (+ 1 z)) (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(* x (- (+ (/ 1 (+ 1 z)) (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(* x (- (+ (/ 1 (+ 1 z)) (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(/ (* x (- 1 (pow z 2))) (+ 1 z))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(/ (* x (- 1 (pow z 2))) (+ 1 z))
(+ (* y (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))
(+ (* y (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))
(+ (* y (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))
(/ (* y (- 1 (pow z 2))) (+ 1 z))
(* y (- (+ (/ 1 (+ 1 z)) (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(* y (- (+ (/ 1 (+ 1 z)) (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(* y (- (+ (/ 1 (+ 1 z)) (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(/ (* y (- 1 (pow z 2))) (+ 1 z))
(* -1 (* y (+ (* -1 (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(* -1 (* y (+ (* -1 (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(* -1 (* y (+ (* -1 (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* y (- 1 (pow z 2)))
(+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))
(+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))
(+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))
(* x (- 1 (pow z 2)))
(* x (- (+ 1 (/ (* y (- 1 (pow z 2))) x)) (pow z 2)))
(* x (- (+ 1 (/ (* y (- 1 (pow z 2))) x)) (pow z 2)))
(* x (- (+ 1 (/ (* y (- 1 (pow z 2))) x)) (pow z 2)))
(* x (- 1 (pow z 2)))
(* -1 (* x (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* y (- 1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* y (- 1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* y (- 1 (pow z 2))) x)))))
(* x (- 1 (pow z 2)))
(+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))
(+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))
(+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))
(* y (- 1 (pow z 2)))
(* y (- (+ 1 (/ (* x (- 1 (pow z 2))) y)) (pow z 2)))
(* y (- (+ 1 (/ (* x (- 1 (pow z 2))) y)) (pow z 2)))
(* y (- (+ 1 (/ (* x (- 1 (pow z 2))) y)) (pow z 2)))
(* y (- 1 (pow z 2)))
(* -1 (* y (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* x (- 1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* x (- 1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* x (- 1 (pow z 2))) y)))))
(+ x y)
(+ x (+ y (* -1 (* (pow z 2) (+ x y)))))
(+ x (+ y (* -1 (* (pow z 2) (+ x y)))))
(+ x (+ y (* -1 (* (pow z 2) (+ x y)))))
(* -1 (* (pow z 2) (+ x y)))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(* -1 (* (pow z 2) (+ x y)))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
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 (* -1 (pow z 2)))
(+ 1 (* -1 (pow z 2)))
(+ 1 (* -1 (pow z 2)))
(* -1 (pow z 2))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (- (/ 1 (pow z 2)) 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))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 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))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* -1 (* x z))
(* z (- (/ x z) x))
(* z (- (/ x z) x))
(* z (- (/ x z) x))
(* -1 (* x z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(* 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 (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (* -1 z)))
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ y z) y))
(* z (- (/ y z) y))
(* z (- (/ y z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ y z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ y z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ y z)) (* -1 y))))
(* 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)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
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 (pow z 2))) (+ 1 z))
(/.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) z))
(+ (* x (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* y (- 1 (pow z 2))) (+ 1 z)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (+.f64 #s(literal 1 binary64) z))
(+ (* x (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* y (- 1 (pow z 2))) (+ 1 z)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (+.f64 #s(literal 1 binary64) z))
(+ (* x (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* y (- 1 (pow z 2))) (+ 1 z)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (+.f64 #s(literal 1 binary64) z))
(/ (* x (- 1 (pow z 2))) (+ 1 z))
(/.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) z))
(* x (- (+ (/ 1 (+ 1 z)) (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (+.f64 #s(literal 1 binary64) z))
(* x (- (+ (/ 1 (+ 1 z)) (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (+.f64 #s(literal 1 binary64) z))
(* x (- (+ (/ 1 (+ 1 z)) (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (+.f64 #s(literal 1 binary64) z))
(/ (* x (- 1 (pow z 2))) (+ 1 z))
(/.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) z))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (+.f64 #s(literal 1 binary64) z))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (+.f64 #s(literal 1 binary64) z))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (+.f64 #s(literal 1 binary64) z))
(/ (* x (- 1 (pow z 2))) (+ 1 z))
(/.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) z))
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eval206.0ms (2.5%)

Memory: 11.7MiB live, 398.0MiB allocated
Compiler: Compiled 37 375 to 2 810 computations (92.5% saved)

prune295.0ms (3.6%)

Memory

-22.2MiB live, 352.6MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 612	5	1 617
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	1 614	9	1 623

Accuracy

100.0%

Counts

1 623 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (-.f64 x (*.f64 x z)))
✓	58.7%	(-.f64 y (*.f64 y z))
✓	48.3%	(+.f64 y x)
	54.4%	(*.f64 (+.f64 x y) (neg.f64 z))
▶	29.0%	(*.f64 z (neg.f64 x))
✓	58.7%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
▶	31.1%	(*.f64 y (neg.f64 z))
▶	29.9%	y
▶	21.2%	x

Compiler

Compiled 110 to 75 computations (31.8% saved)

simplify75.0ms (0.9%)

Memory

10.5MiB live, 90.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 z (neg.f64 x))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 y (neg.f64 z))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(-.f64 x (*.f64 x z))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	384	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (-.f64 x (*.f64 x z)))

Rules

1 552×	`accelerator-lowering-fma.f32`
1 552×	`accelerator-lowering-fma.f64`
368×	`-lowering-.f32`
368×	`-lowering-.f64`
344×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	34	44
2	67	44
3	135	40
4	328	40
5	697	40
6	1096	40
7	1322	40
8	1336	40
0	1336	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize36.0ms (0.4%)

Memory

19.0MiB live, 56.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(*.f64 y (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(-.f64 x (*.f64 x z))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.2%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (-.f64 x (*.f64 x z)))

Samples

24.0ms

256×

valid

Compiler

Compiled 45 to 15 computations (66.7% saved)

Precisions

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

ival-mult: 6.0ms (51.3% of total)

ival-sub: 3.0ms (25.7% of total)

ival-neg: 2.0ms (17.1% of total)

ival-add: 1.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-32.7MiB live, 6.3MiB allocated

Counts

8 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Expression
0.0ms	y	@	(* y (neg z))
0.0ms	z	@	(* z (neg x))
0.0ms	z	@	(* y (neg z))
0.0ms	y	@	(+ (* (- 1 z) y) (- x (* x z)))
0.0ms	x	@	(* z (neg x))

rewrite554.0ms (6.8%)

Memory

18.6MiB live, 420.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 172×	`accelerator-lowering-fma.f32`
7 172×	`accelerator-lowering-fma.f64`
5 538×	`-lowering-.f32`
5 538×	`-lowering-.f64`
4 018×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	71	34
2	540	34
0	8655	33

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 415

Calls

Call 1

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

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

simplify536.0ms (6.6%)

Memory

11.6MiB live, 245.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 662×	`accelerator-lowering-fma.f32`
8 662×	`accelerator-lowering-fma.f64`
2 348×	`-lowering-.f32`
2 348×	`-lowering-.f64`
1 606×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	797
1	222	791
2	605	728
3	2056	716
4	6813	716
0	8199	710

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval198.0ms (2.4%)

Memory: 1.5MiB live, 79.4MiB allocated
Compiler: Compiled 14 838 to 1 229 computations (91.7% saved)

prune288.0ms (3.5%)

Memory

8.9MiB live, 122.5MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	582	1	583
Fresh	0	1	1
Picked	1	4	5
Done	0	3	3
Total	583	9	592

Accuracy

100.0%

Counts

592 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.1%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x (neg.f64 z)))
✓	58.7%	(-.f64 y (*.f64 y z))
✓	48.3%	(+.f64 y x)
▶	54.4%	(*.f64 (+.f64 x y) (neg.f64 z))
✓	29.0%	(*.f64 z (neg.f64 x))
✓	58.7%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	31.1%	(*.f64 y (neg.f64 z))
✓	29.9%	y
✓	21.2%	x

Compiler

Compiled 65 to 45 computations (30.8% saved)

simplify106.0ms (1.3%)

Memory

-16.3MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 x (neg.f64 z))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	320	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x (neg.f64 z)))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) (neg.f64 z))

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
152×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	26	36
2	59	35
3	127	34
4	250	34
5	390	34
6	622	34
7	679	34
8	692	34
0	692	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize113.0ms (1.4%)

Memory

20.7MiB live, 59.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	99.2%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x (neg.f64 z)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) (neg.f64 z))

Samples

18.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

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

ival-mult: 4.0ms (43.2% of total)

ival-add: 2.0ms (21.6% of total)

ival-sub: 1.0ms (10.8% of total)

ival-neg: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-14.5MiB live, 22.5MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite310.0ms (3.8%)

Memory

15.2MiB live, 456.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 182×	`accelerator-lowering-fma.f32`
4 182×	`accelerator-lowering-fma.f64`
4 050×	`-lowering-.f32`
4 050×	`-lowering-.f64`
2 080×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	63	27
2	490	26
3	6002	22
0	8811	22

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 393

Calls

Call 1

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

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

simplify241.0ms (3%)

Memory

-11.3MiB live, 476.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 212×	`accelerator-lowering-fma.f32`
7 212×	`accelerator-lowering-fma.f64`
2 940×	`-lowering-.f32`
2 940×	`-lowering-.f64`
1 726×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	672
1	268	645
2	691	645
3	2047	645
4	4663	645
5	7081	645
0	8182	645

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval115.0ms (1.4%)

Memory: 7.7MiB live, 163.4MiB allocated
Compiler: Compiled 11 036 to 1 081 computations (90.2% saved)

prune66.0ms (0.8%)

Memory

-4.2MiB live, 151.7MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	574	1	575
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	575	9	584

Accuracy

100.0%

Counts

584 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.6%	(fma.f64 (neg.f64 z) y (*.f64 x (neg.f64 z)))
✓	58.7%	(-.f64 y (*.f64 y z))
✓	48.3%	(+.f64 y x)
✓	54.4%	(*.f64 (+.f64 x y) (neg.f64 z))
✓	29.0%	(*.f64 z (neg.f64 x))
✓	58.7%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	31.1%	(*.f64 y (neg.f64 z))
✓	29.9%	y
✓	21.2%	x

Compiler

Compiled 148 to 72 computations (51.4% saved)

regimes32.0ms (0.4%)

Memory

-9.1MiB live, 67.9MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	y
6.0ms	(+.f64 x y)
5.0ms	x
5.0ms	z
5.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Results

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes25.0ms (0.3%)

Memory

10.3MiB live, 60.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(+.f64 x y)
3.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Results

Accuracy	Segments	Branch
86.0%	2	`x`
86.0%	2	`y`
99.1%	3	`z`
84.6%	4	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
99.0%	2	`(+.f64 x y)`
99.1%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes15.0ms (0.2%)

Memory

-5.4MiB live, 33.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(+.f64 x y)
3.0ms	x
3.0ms	y
3.0ms	z
2.0ms	(-.f64 #s(literal 1 binary64) z)

Results

Accuracy	Segments	Branch
74.9%	3	`y`
74.8%	3	`x`
78.7%	4	`z`
78.7%	4	`(-.f64 #s(literal 1 binary64) z)`
83.5%	3	`(+.f64 x y)`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-11.1MiB live, 27.7MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
2.0ms	z
2.0ms	(+.f64 x y)
2.0ms	(-.f64 #s(literal 1 binary64) z)

Results

Accuracy	Segments	Branch
77.8%	4	`z`
77.8%	4	`(-.f64 #s(literal 1 binary64) z)`
61.4%	3	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
60.2%	4	`(+.f64 x y)`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.9%	3	`z`
75.9%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.2%)

Memory

0.9MiB live, 39.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
48.3%	1	`(+.f64 x y)`
48.3%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
48.3%	1	`x`
48.3%	1	`y`
48.3%	1	`(-.f64 #s(literal 1 binary64) z)`
48.3%	1	`z`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes12.0ms (0.1%)

Memory

-10.3MiB live, 32.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

6 calls:

4.0ms	(+.f64 x y)
2.0ms	z
2.0ms	y
2.0ms	x
1.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Results

Accuracy	Segments	Branch
48.5%	2	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
29.9%	1	`(-.f64 #s(literal 1 binary64) z)`
42.0%	2	`x`
29.9%	1	`z`
48.0%	2	`(+.f64 x y)`
43.4%	2	`y`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes10.0ms (0.1%)

Memory

-12.8MiB live, 25.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

6 calls:

3.0ms	z
1.0ms	y
1.0ms	(+.f64 x y)
1.0ms	x
1.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Results

Accuracy	Segments	Branch
21.2%	1	`(-.f64 #s(literal 1 binary64) z)`
21.2%	1	`z`
21.2%	1	`x`
21.2%	1	`y`
21.2%	1	`(+.f64 x y)`
21.2%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.707262420113276e-283	1.4864184920084086e-263

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.0985762803229563e-271	-7.707262420113276e-283
0.0ms	-1.4174533762190275e+66	-2.8060617766566786e+56

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0017037909884918	16058.047039037627
0.0ms	-2.9146512424682727e+20	0.999999249697366
0.0ms	-1.7862598360924482e+237	-1.0317266144578781e+234

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch27.0ms (0.3%)

Memory

24.3MiB live, 62.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.503026340085713e-7	2.9146512424682727e+20
10.0ms	-16057.047039037627	-0.0017037909884918456

Samples

15.0ms

320×

valid

Compiler

Compiled 313 to 233 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 4.0ms (52.8% of total)

ival-mult: 2.0ms (26.4% of total)

ival-sub: 1.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0985762803229563e-271	5.374672128408167e-214

Compiler

Compiled 13 to 13 computations (0% saved)

simplify13.0ms (0.2%)

Memory

-8.3MiB live, 29.1MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	109
1	71	109
2	86	109
3	95	109
4	99	109
5	100	109

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -653996952628337/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528 binary64)) (-.f64 x (.f64 z x)) (.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal -999999999999999945322333868247445125709646570021247924665841614848 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 (+.f64 x y) #s(literal -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (+.f64 y x) (.f64 y (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -999999999999999940205461314330949157639035769339395563281540824641288164893139324951747214686990494667615328372051330560380424582445502262385046995766402482607793500255578094113131409067638500218263478644773697770829313903654699186257920 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -200000000000000000000 binary64)) (.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 y x) (*.f64 y (neg.f64 z)))))
(if (<=.f64 z #s(literal -320 binary64)) (.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (.f64 y (neg.f64 z))))
(+.f64 y x)
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) x y)
x

Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -653996952628337/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528 binary64)) (-.f64 x (.f64 z x)) (.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal -653996952628337/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528 binary64)) (-.f64 x (.f64 x z)) (.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal -999999999999999945322333868247445125709646570021247924665841614848 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 (+.f64 x y) #s(literal -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (+.f64 y x) (.f64 y (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 (+.f64 x y) #s(literal -999999999999999945322333868247445125709646570021247924665841614848 binary64)) (neg.f64 (.f64 x z)) (if (<=.f64 (+.f64 x y) #s(literal -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (+.f64 x y) (.f64 y (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -999999999999999940205461314330949157639035769339395563281540824641288164893139324951747214686990494667615328372051330560380424582445502262385046995766402482607793500255578094113131409067638500218263478644773697770829313903654699186257920 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -200000000000000000000 binary64)) (.f64 y (neg.f64 z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 y x) (*.f64 y (neg.f64 z)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -999999999999999940205461314330949157639035769339395563281540824641288164893139324951747214686990494667615328372051330560380424582445502262385046995766402482607793500255578094113131409067638500218263478644773697770829313903654699186257920 binary64)) (neg.f64 (.f64 x z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -200000000000000000000 binary64)) (neg.f64 (.f64 y z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 x y) (neg.f64 (*.f64 y z)))))
(if (<=.f64 z #s(literal -320 binary64)) (.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (.f64 y (neg.f64 z))))
(if (<=.f64 z #s(literal -320 binary64)) (neg.f64 (.f64 y z)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 x y) (neg.f64 (.f64 y z))))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) x y)
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) #s(literal -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) x y)
x

soundness741.0ms (9.1%)

Memory

9.3MiB live, 456.8MiB allocated

Rules

12 146×	`accelerator-lowering-fma.f32`
12 146×	`accelerator-lowering-fma.f64`
9 120×	`accelerator-lowering-fma.f32`
9 120×	`accelerator-lowering-fma.f64`
3 180×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	326
1	213	326
2	682	326
3	2204	326
4	5160	326
5	7981	326
0	8697	326
0	143	1749
1	466	1548
2	1350	1536
3	5118	1536
0	8300	1524

Stop Event

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

Compiler

Compiled 256 to 134 computations (47.7% saved)

preprocess69.0ms (0.9%)

Memory: -2.8MiB live, 115.8MiB allocated
Remove: (sort x y)
Compiler: Compiled 316 to 132 computations (58.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample606.0ms (7.4%)

preprocess250.0ms (3.1%)

explain67.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify70.0ms (0.9%)

localize20.0ms (0.2%)

series4.0ms (0%)

rewrite564.0ms (6.9%)

simplify308.0ms (3.8%)

eval111.0ms (1.4%)

prune213.0ms (2.6%)

simplify253.0ms (3.1%)

localize51.0ms (0.6%)

series15.0ms (0.2%)

rewrite1.2s (14.4%)

simplify294.0ms (3.6%)

eval206.0ms (2.5%)

prune295.0ms (3.6%)

simplify75.0ms (0.9%)

localize36.0ms (0.4%)

series7.0ms (0.1%)

rewrite554.0ms (6.8%)

simplify536.0ms (6.6%)

eval198.0ms (2.4%)

prune288.0ms (3.5%)

simplify106.0ms (1.3%)

localize113.0ms (1.4%)

series10.0ms (0.1%)

rewrite310.0ms (3.8%)

simplify241.0ms (3%)

eval115.0ms (1.4%)

prune66.0ms (0.8%)

regimes32.0ms (0.4%)

regimes25.0ms (0.3%)

regimes15.0ms (0.2%)

regimes12.0ms (0.1%)

regimes5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch27.0ms (0.3%)

bsearch0.0ms (0%)

simplify13.0ms (0.2%)

soundness741.0ms (9.1%)

preprocess69.0ms (0.9%)

end0.0ms (0%)

Profiling