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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample1.1s (15.1%)

Memory

8.8MiB live, 1 238.3MiB allocated

Samples

822.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-mult: 205.0ms (58.2% of total)

ival-add: 93.0ms (26.4% of total)

ival-sub: 39.0ms (11.1% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess262.0ms (3.7%)

Memory

23.6MiB live, 144.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 552×	`lower-fma.f64`
1 552×	`lower-fma.f32`
1 326×	`unsub-neg`
912×	`sub-neg`
664×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	69	64
2	233	63
3	844	63
4	2634	63
5	4455	63
6	5449	63
7	5703	63
8	5755	63
9	5778	63
10	5781	63
11	5844	63
12	5852	63
13	5852	63
14	5852	63
15	5890	63
16	5890	63
0	7	7
0	10	7
1	16	7
2	34	7
3	74	7
4	215	7
5	504	7
6	825	7
7	1314	7
8	1634	7
9	1690	7
10	1690	7
0	1690	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

explain61.0ms (0.9%)

Memory

10.8MiB live, 86.3MiB 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

24.0ms

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 (31.8% of total)

ival-add: 3.0ms (31.8% of total)

ival-mult: 3.0ms (31.8% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify75.0ms (1.1%)

Memory

-19.5MiB live, 63.2MiB 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×	`lower-fma.f64`
1 552×	`lower-fma.f32`
368×	`lower-*.f32`
366×	`lower-*.f64`
344×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	16	17
2	34	17
3	74	17
4	215	17
5	504	17
6	825	17
7	1314	17
8	1634	17
9	1690	17
10	1690	17
0	1690	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

1.4MiB live, 39.5MiB 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

12.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-mult: 2.0ms (42.9% of total)

ival-sub: 1.0ms (21.5% of total)

ival-add: 1.0ms (21.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

3 → 72

Calls

Call 1

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

rewrite512.0ms (7.3%)

Memory

15.3MiB live, 522.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 758×	`lower-*.f32`
5 756×	`lower-*.f64`
3 972×	`lower-/.f64`
3 972×	`lower-/.f32`
2 508×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	41	13
2	307	13
3	4032	13
0	9598	13

Stop Event

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

Counts

3 → 835

Calls

Call 1

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

simplify317.0ms (4.5%)

Memory

-37.3MiB live, 383.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 146×	`lower-fma.f64`
12 146×	`lower-fma.f32`
2 722×	`lower-*.f64`
2 722×	`lower-*.f32`
2 196×	`lower--.f64`

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 → 66

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)

eval110.0ms (1.6%)

Memory: 23.0MiB live, 208.4MiB allocated
Compiler: Compiled 38 494 to 2 730 computations (92.9% saved)

prune129.0ms (1.8%)

Memory

-17.6MiB live, 271.8MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	896	5	901
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	896	6	902

Accuracy

100.0%

Counts

902 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.1%	(/.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 z z))) (+.f64 #s(literal 1 binary64) z))
▶	51.6%	(-.f64 y (*.f64 y z))
▶	53.6%	(-.f64 x (*.f64 z x))
▶	53.1%	(+.f64 y x)
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
▶	49.1%	(*.f64 (+.f64 x y) (neg.f64 z))

Compiler

Compiled 104 to 67 computations (35.6% saved)

simplify313.0ms (4.4%)

Memory

1.1MiB live, 312.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

8 862×	`lower-fma.f64`
8 862×	`lower-fma.f32`
2 228×	`lower-*.f32`
2 218×	`lower-*.f64`
1 536×	`unsub-neg`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	17	79
0	30	79
1	57	79
2	113	79
3	234	79
4	558	79
5	1310	79
6	2716	73
7	5597	73
8	7126	73
0	8064	73

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.7%)

Memory

6.9MiB live, 83.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) (neg.f64 z))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(-.f64 y (*.f64 y z))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(-.f64 x (*.f64 z x))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	96.7%	(.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	90.5%	(/.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 81 to 19 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 8.0ms (41.7% of total)

ival-add: 5.0ms (26.1% of total)

ival-sub: 3.0ms (15.6% of total)

ival-div: 2.0ms (10.4% of total)

ival-neg: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

27.3MiB live, 27.3MiB allocated

Counts

13 → 300

Calls

Call 1

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

75 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))
1.0ms	z	@	0	(/ (* (+ x y) (- 1 (* z z))) (+ 1 z))

rewrite491.0ms (7%)

Memory

5.2MiB live, 562.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 166×	`lower-fma.f64`
8 166×	`lower-fma.f32`
5 878×	`lower-*.f32`
5 868×	`lower-*.f64`
4 486×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	30	63
1	127	57
2	1014	57
0	8835	57

Stop Event

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

Counts

13 → 1 005

Calls

Call 1

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

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

simplify340.0ms (4.8%)

Memory

-13.5MiB live, 537.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 968×	`lower-fma.f64`
9 968×	`lower-fma.f32`
3 024×	`lower-*.f64`
3 024×	`lower-*.f32`
2 192×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	2071
1	491	1834
2	1438	1786
3	5641	1774
0	8363	1768

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 284

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

eval285.0ms (4%)

Memory: 8.7MiB live, 382.7MiB allocated
Compiler: Compiled 29 638 to 2 538 computations (91.4% saved)

prune224.0ms (3.2%)

Memory

2.8MiB live, 356.4MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 377	5	1 382
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	1 380	8	1 388

Accuracy

100.0%

Counts

1 388 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.5%	(fma.f64 (neg.f64 z) y (neg.f64 (*.f64 x z)))
▶	51.7%	(fma.f64 (neg.f64 z) y y)
▶	53.6%	(fma.f64 (neg.f64 z) x x)
✓	53.1%	(+.f64 y x)
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
✓	49.1%	(*.f64 (+.f64 x y) (neg.f64 z))
▶	30.4%	(*.f64 z (neg.f64 x))
▶	25.5%	(*.f64 y (neg.f64 z))

Compiler

Compiled 107 to 71 computations (33.6% saved)

simplify23.0ms (0.3%)

Memory

1.9MiB live, 41.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(neg.f64 (*.f64 x z))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	320	(fma.f64 (neg.f64 z) y (neg.f64 (*.f64 x z)))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(fma.f64 (neg.f64 z) y y)
✓	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	(neg.f64 z)
✓	cost-diff	0	(fma.f64 (neg.f64 z) x x)

Rules

448×	`lower-fma.f32`
442×	`lower-fma.f64`
240×	`lower-*.f32`
234×	`lower-*.f64`
120×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	54
0	23	54
1	49	52
2	97	52
3	204	52
4	344	52
5	554	52
6	587	52
0	587	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 z x))
(neg.f64 z)
z
x
(*.f64 y (neg.f64 z))
(*.f64 (neg.f64 z) y)
y
(neg.f64 z)
z
(*.f64 z (neg.f64 x))
z
(neg.f64 x)
x
(fma.f64 (neg.f64 z) y y)
(-.f64 y (*.f64 z y))
(neg.f64 z)
z
y
(fma.f64 (neg.f64 z) y (neg.f64 (*.f64 x z)))
(*.f64 z (-.f64 (neg.f64 y) x))
(neg.f64 z)
z
y
(neg.f64 (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x z)
(*.f64 z x)
x

localize52.0ms (0.7%)

Memory

-20.3MiB live, 113.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	(neg.f64 (*.f64 x z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	98.4%	(fma.f64 (neg.f64 z) y (neg.f64 (*.f64 x z)))
✓	accuracy	100.0%	(fma.f64 (neg.f64 z) y y)
✓	accuracy	100.0%	(neg.f64 z)
✓	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%	(fma.f64 (neg.f64 z) x x)
✓	accuracy	100.0%	(neg.f64 z)

Samples

37.0ms

256×

valid

Compiler

Compiled 59 to 16 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 16.0ms (69.6% of total)

ival-add: 4.0ms (17.4% of total)

ival-neg: 3.0ms (13.1% of total)

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

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

series9.0ms (0.1%)

Memory

-19.0MiB live, 19.7MiB allocated

Counts

9 → 204

Calls

Call 1

Inputs
#<alt (fma.f64 (neg.f64 z) x x)>
#<alt (neg.f64 z)>
#<alt (*.f64 y (neg.f64 z))>
#<alt (*.f64 z (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (fma.f64 (neg.f64 z) y y)>
#<alt (fma.f64 (neg.f64 z) y (neg.f64 (*.f64 x z)))>
#<alt (neg.f64 (*.f64 x z))>
#<alt (*.f64 x z)>

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

Calls

51 calls:

Time	Variable		Expression
3.0ms	y	@	(+ (* (neg z) y) (neg (* x z)))
0.0ms	z	@	(* y (neg z))
0.0ms	x	@	(+ (* (neg z) x) x)
0.0ms	x	@	(+ (* (neg z) y) (neg (* x z)))
0.0ms	z	@	(+ (* (neg z) x) x)

rewrite589.0ms (8.4%)

Memory

21.6MiB live, 619.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 168×	`lower-fma.f32`
12 162×	`lower-fma.f64`
4 768×	`lower-*.f32`
4 762×	`lower-*.f64`
2 528×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
0	23	37
1	89	35
2	593	35
3	6861	35
0	8115	35

Stop Event

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

Counts

9 → 508

Calls

Call 1

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

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

simplify507.0ms (7.2%)

Memory

13.3MiB live, 282.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 652×	`lower-fma.f64`
4 652×	`lower-fma.f32`
2 824×	`lower-*.f64`
2 824×	`lower-*.f32`
2 352×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	882
1	196	840
2	438	840
3	1532	840
4	3395	840
5	4657	840
6	5376	840
7	6086	840
8	6513	840
9	6659	840
0	8049	840

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

Calls

Call 1

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

Outputs
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 z (neg.f64 x))
(* z (+ (* -1 x) (/ x z)))
(-.f64 x (*.f64 x z))
(* z (+ (* -1 x) (/ x z)))
(-.f64 x (*.f64 x z))
(* z (+ (* -1 x) (/ x z)))
(-.f64 x (*.f64 x z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* z (+ x (* -1 (/ x z)))))
(-.f64 x (*.f64 x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(-.f64 x (*.f64 x z))
(* -1 (* z (+ x (* -1 (/ x 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 (+ 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))
(* -1 (* x (- z 1)))
(-.f64 x (*.f64 x z))
(* -1 (* x (- z 1)))
(-.f64 x (*.f64 x z))
(* -1 (* x (- z 1)))
(-.f64 x (*.f64 x z))
(* -1 (* x (- z 1)))
(-.f64 x (*.f64 x 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 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -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))
(* -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)
y
(+ y (* -1 (* y z)))
(-.f64 y (*.f64 z y))
(+ y (* -1 (* y z)))
(-.f64 y (*.f64 z y))
(+ y (* -1 (* y z)))
(-.f64 y (*.f64 z y))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (+ (* -1 y) (/ y z)))
(-.f64 y (*.f64 z y))
(* z (+ (* -1 y) (/ y z)))
(-.f64 y (*.f64 z y))
(* z (+ (* -1 y) (/ y z)))
(-.f64 y (*.f64 z y))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* z (+ y (* -1 (/ y z)))))
(-.f64 y (*.f64 z y))
(* -1 (* z (+ y (* -1 (/ y z)))))
(-.f64 y (*.f64 z y))
(* -1 (* z (+ y (* -1 (/ y z)))))
(-.f64 y (*.f64 z y))
(* y (+ 1 (* -1 z)))
(-.f64 y (*.f64 z y))
(* y (+ 1 (* -1 z)))
(-.f64 y (*.f64 z y))
(* y (+ 1 (* -1 z)))
(-.f64 y (*.f64 z y))
(* y (+ 1 (* -1 z)))
(-.f64 y (*.f64 z y))
(* y (+ 1 (* -1 z)))
(-.f64 y (*.f64 z y))
(* y (+ 1 (* -1 z)))
(-.f64 y (*.f64 z y))
(* y (+ 1 (* -1 z)))
(-.f64 y (*.f64 z y))
(* y (+ 1 (* -1 z)))
(-.f64 y (*.f64 z y))
(* -1 (* y (- z 1)))
(-.f64 y (*.f64 z y))
(* -1 (* y (- z 1)))
(-.f64 y (*.f64 z y))
(* -1 (* y (- z 1)))
(-.f64 y (*.f64 z y))
(* -1 (* y (- z 1)))
(-.f64 y (*.f64 z y))
(* z (- (* -1 y) x))
(*.f64 z (-.f64 (neg.f64 x) y))
(* z (- (* -1 y) x))
(*.f64 z (-.f64 (neg.f64 x) y))
(* z (- (* -1 y) x))
(*.f64 z (-.f64 (neg.f64 x) y))
(* z (- (* -1 y) x))
(*.f64 z (-.f64 (neg.f64 x) y))
(* z (- (* -1 y) x))
(*.f64 z (-.f64 (neg.f64 x) y))
(* z (- (* -1 y) x))
(*.f64 z (-.f64 (neg.f64 x) y))
(* z (- (* -1 y) x))
(*.f64 z (-.f64 (neg.f64 x) y))
(* z (- (* -1 y) x))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* z (- y (* -1 x))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* z (- y (* -1 x))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* z (- y (* -1 x))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* z (- y (* -1 x))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(- (* -1 (* y z)) (* x z))
(*.f64 z (-.f64 (neg.f64 x) y))
(- (* -1 (* y z)) (* x z))
(*.f64 z (-.f64 (neg.f64 x) y))
(- (* -1 (* y z)) (* x z))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (+ (* -1 z) (* -1 (/ (* x z) y))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* y (+ (* -1 z) (* -1 (/ (* x z) y))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* y (+ (* -1 z) (* -1 (/ (* x z) y))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y (+ z (/ (* x z) y))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* y (+ z (/ (* x z) y))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* y (+ z (/ (* x z) y))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(+ (* -1 (* x z)) (* -1 (* y z)))
(*.f64 z (-.f64 (neg.f64 x) y))
(+ (* -1 (* x z)) (* -1 (* y z)))
(*.f64 z (-.f64 (neg.f64 x) y))
(+ (* -1 (* x z)) (* -1 (* y z)))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* x (- (* -1 (/ (* y z) x)) z))
(*.f64 z (-.f64 (neg.f64 x) y))
(* x (- (* -1 (/ (* y z) x)) z))
(*.f64 z (-.f64 (neg.f64 x) y))
(* x (- (* -1 (/ (* y z) x)) z))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) (* -1 z))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* x (- (/ (* y z) x) (* -1 z))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -1 (* x (- (/ (* y z) x) (* -1 z))))
(*.f64 z (-.f64 (neg.f64 x) y))
(* -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))
(* 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)

eval374.0ms (5.3%)

Memory: 11.8MiB live, 231.4MiB allocated
Compiler: Compiled 13 300 to 1 249 computations (90.6% saved)

prune100.0ms (1.4%)

Memory

2.9MiB live, 260.2MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	833	0	833
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	833	8	841

Accuracy

100.0%

Counts

841 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.5%	(fma.f64 (neg.f64 z) y (neg.f64 (*.f64 x z)))
✓	51.7%	(fma.f64 (neg.f64 z) y y)
✓	53.6%	(fma.f64 (neg.f64 z) x x)
✓	53.1%	(+.f64 y x)
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
✓	49.1%	(*.f64 (+.f64 x y) (neg.f64 z))
✓	30.4%	(*.f64 z (neg.f64 x))
✓	25.5%	(*.f64 y (neg.f64 z))

Compiler

Compiled 134 to 71 computations (47% saved)

regimes26.0ms (0.4%)

Memory

-4.2MiB live, 75.5MiB allocated

Counts

11 → 1

Calls

Call 1

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

6.0ms	(-.f64 #s(literal 1 binary64) z)
5.0ms	z
4.0ms	y
4.0ms	(+.f64 x y)
4.0ms	x

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)

regimes20.0ms (0.3%)

Memory

-20.4MiB live, 59.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
83.8%	2	`x`
85.2%	3	`y`
98.5%	3	`z`
86.1%	4	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
97.8%	2	`(+.f64 x y)`
98.5%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes3.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs
(fma.f64 (neg.f64 z) x x)
(-.f64 y (*.f64 y z))

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
97.7%	2	`(+.f64 x y)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
97.7%	2	`(+.f64 x y)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

5.2MiB live, 46.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
72.8%	3	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
71.3%	2	`y`
70.6%	2	`x`
80.5%	3	`z`
80.5%	3	`(-.f64 #s(literal 1 binary64) z)`
78.6%	2	`(+.f64 x y)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes50.0ms (0.7%)

Memory

-19.2MiB live, 20.1MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	z
2.0ms	(+.f64 x y)
2.0ms	(-.f64 #s(literal 1 binary64) z)

Results

Accuracy	Segments	Branch
61.0%	4	`(+.f64 x y)`
80.0%	3	`(-.f64 #s(literal 1 binary64) z)`
80.0%	3	`z`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes3.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(+.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
1.0ms	(-.f64 #s(literal 1 binary64) z)

Results

Accuracy	Segments	Branch
75.2%	3	`(-.f64 #s(literal 1 binary64) z)`
75.2%	3	`z`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory

-12.6MiB live, 26.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
53.1%	1	`(+.f64 x y)`
53.1%	1	`x`
53.1%	1	`y`
53.1%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
53.1%	1	`z`
53.1%	1	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5437425057210667e-305	1.9047006033983391e-243

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5437425057210667e-305	1.9047006033983391e-243

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5437425057210667e-305	1.9047006033983391e-243

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch21.0ms (0.3%)

Memory

7.5MiB live, 45.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.561253129211872e-7	1.2529586693656464e-5
10.0ms	-1.8423111635843712e-16	-2.5353712293298443e-20

Samples

11.0ms

240×

valid

Compiler

Compiled 253 to 178 computations (29.6% saved)

Precisions

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

ival-sub: 1.0ms (23.2% of total)

ival-add: 1.0ms (23.2% of total)

ival-mult: 1.0ms (23.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Memory

0.1MiB live, 40.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.2529586693656464e-5	240833685989303.56
6.0ms	-134.0513111606392	-64.85636444398729

Samples

14.0ms

256×

valid

Compiler

Compiled 253 to 189 computations (25.3% saved)

Precisions

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

ival-mult: 5.0ms (61.6% of total)

ival-sub: 1.0ms (12.3% of total)

ival-add: 1.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Memory

-15.5MiB live, 20.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1.2529586693656464e-5	240833685989303.56
9.0ms	-89799378729.5112	-8862443.417987192

Samples

5.0ms

128×

valid

Compiler

Compiled 298 to 222 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (45.2% of total)

ival-add: 1.0ms (45.2% of total)

ival-mult: 1.0ms (45.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
18×	`+-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	117
1	65	117
2	80	117
3	88	117
4	91	117

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 -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 (neg.f64 z) y y))
(if (<=.f64 (+.f64 x y) #s(literal -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (fma.f64 (neg.f64 z) x x) (-.f64 y (*.f64 y z)))
(if (<=.f64 (+.f64 x y) #s(literal -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (-.f64 x (.f64 z x)) (-.f64 y (.f64 y z)))
(if (<=.f64 z #s(literal -7301667457314601/40564819207303340847894502572032 binary64)) (-.f64 x (.f64 z x)) (if (<=.f64 z #s(literal 8264141345021879/4722366482869645213696 binary64)) (+.f64 y x) (-.f64 x (.f64 z x))))
(if (<=.f64 z #s(literal -65 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (.f64 z (neg.f64 x))))
(if (<=.f64 z #s(literal -9000000 binary64)) (.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (.f64 y (neg.f64 z))))
(+.f64 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 -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 (neg.f64 z) y y))
(if (<=.f64 (+.f64 x y) #s(literal -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (fma.f64 (neg.f64 z) x x) (-.f64 y (*.f64 y z)))
(if (<=.f64 (+.f64 x y) #s(literal -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (-.f64 x (.f64 z x)) (-.f64 y (.f64 y z)))
(if (<=.f64 (+.f64 x y) #s(literal -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (-.f64 x (.f64 x z)) (-.f64 y (.f64 y z)))
(if (<=.f64 z #s(literal -7301667457314601/40564819207303340847894502572032 binary64)) (-.f64 x (.f64 z x)) (if (<=.f64 z #s(literal 8264141345021879/4722366482869645213696 binary64)) (+.f64 y x) (-.f64 x (.f64 z x))))
(if (<=.f64 z #s(literal -7301667457314601/40564819207303340847894502572032 binary64)) (-.f64 x (.f64 x z)) (if (<=.f64 z #s(literal 8264141345021879/4722366482869645213696 binary64)) (+.f64 x y) (-.f64 x (.f64 x z))))
(if (<=.f64 z #s(literal -65 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (.f64 z (neg.f64 x))))
(if (<=.f64 z #s(literal -65 binary64)) (neg.f64 (.f64 x z)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 x y) (neg.f64 (.f64 x z))))
(if (<=.f64 z #s(literal -9000000 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 -9000000 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)

soundness819.0ms (11.6%)

Memory

-1.3MiB live, 496.8MiB allocated

Rules

12 146×	`lower-fma.f64`
12 146×	`lower-fma.f32`
9 968×	`lower-fma.f64`
9 968×	`lower-fma.f32`
8 166×	`lower-fma.f64`

Iterations

Useful iterations: 1 (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	148	2071
1	491	1834
2	1438	1786
3	5641	1774
0	8363	1768
0	17	63
0	30	63
1	127	57
2	1014	57
0	8835	57

Stop Event

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

Compiler

Compiled 254 to 122 computations (52% saved)

preprocess87.0ms (1.2%)

Memory: -17.3MiB live, 98.5MiB allocated
Remove: (sort x y)
Compiler: Compiled 320 to 128 computations (60% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.1s (15.1%)

preprocess262.0ms (3.7%)

explain61.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify75.0ms (1.1%)

localize21.0ms (0.3%)

series4.0ms (0.1%)

rewrite512.0ms (7.3%)

simplify317.0ms (4.5%)

eval110.0ms (1.6%)

prune129.0ms (1.8%)

simplify313.0ms (4.4%)

localize53.0ms (0.7%)

series17.0ms (0.2%)

rewrite491.0ms (7%)

simplify340.0ms (4.8%)

eval285.0ms (4%)

prune224.0ms (3.2%)

simplify23.0ms (0.3%)

localize52.0ms (0.7%)

series9.0ms (0.1%)

rewrite589.0ms (8.4%)

simplify507.0ms (7.2%)

eval374.0ms (5.3%)

prune100.0ms (1.4%)

regimes26.0ms (0.4%)

regimes20.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes14.0ms (0.2%)

regimes50.0ms (0.7%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch21.0ms (0.3%)

bsearch25.0ms (0.3%)

bsearch14.0ms (0.2%)

simplify8.0ms (0.1%)

soundness819.0ms (11.6%)

preprocess87.0ms (1.2%)

end0.0ms (0%)

Profiling