Metrics for Difference of squares

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample690.0ms (7.2%)

Memory

34.4MiB live, 1 212.2MiB allocated

Samples

536.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

ival-sub: 180.0ms (54.3% of total)

ival-mult: 143.0ms (43.2% of total)

ival-true: 5.0ms (1.5% of total)

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

Bogosity

preprocess853.0ms (8.9%)

Memory

-40.8MiB live, 1 030.4MiB allocated

Algorithm

2×	egg-herbie

Rules

24 584×	`accelerator-lowering-fma.f32`
24 584×	`accelerator-lowering-fma.f64`
5 200×	`+-lowering-+.f64`
5 200×	`+-lowering-+.f32`
3 904×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	54	42
2	151	42
3	383	42
4	882	42
5	1235	42
6	1761	42
7	2347	42
8	4143	42
9	4751	42
10	4864	42
11	4978	42
12	5058	42
13	5058	42
14	6439	42
15	7415	42
16	7899	42
17	7915	42
18	7915	42
0	5	7
1	13	7
2	24	7
3	50	7
4	113	7
5	316	7
6	587	7
7	1255	7
8	2543	7
9	4209	7
10	5079	7
11	5448	7
12	5678	7
13	5792	7
14	5792	7
15	6752	7
16	6912	7
17	7232	7
18	7232	7
19	7632	7
20	7792	7
21	7872	7
22	7872	7
23	7872	7
0	10335	7

Stop Event

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

Calls

Call 1

Inputs
(- (* a a) (* b b))

Outputs
(- (* a a) (* b b))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))

Call 2

Inputs
(- (* a a) (* b b))
(- (* (neg a) (neg a)) (* b b))
(- (* a a) (* (neg b) (neg b)))
(neg (- (* (neg a) (neg a)) (* b b)))
(neg (- (* a a) (* (neg b) (neg b))))
(- (* b b) (* a a))

Outputs
(- (* a a) (* b b))
(- (* (neg a) (neg a)) (* b b))
(- (* a a) (* b b))
(- (* a a) (* (neg b) (neg b)))
(- (* a a) (* b b))
(neg (- (* (neg a) (neg a)) (* b b)))
(- (* b b) (* a a))
(neg (- (* a a) (* (neg b) (neg b))))
(- (* b b) (* a a))
(- (* b b) (* a a))

Symmetry

(abs a)

(abs b)

explain58.0ms (0.6%)

Memory

-3.2MiB live, 155.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(*.f64 a a)`
0	-	-	`a`
0	-	-	`b`
0	-	-	`(*.f64 b b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 a a) (.f64 b b))`	nan-rescue	17	0
↳	`(*.f64 a a)`	overflow	70
↳	`(*.f64 b b)`	overflow	65

Confusion

	Predicted +	Predicted -
+	17	0
-	0	239

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	0
-	0	0	239

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	239
1	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

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

ival-mult: 6.0ms (68% of total)

ival-sub: 2.0ms (22.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.4%	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify690.0ms (7.2%)

Memory

-0.7MiB live, 947.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 b b)
✓	cost-diff	-64	(*.f64 a a)
✓	cost-diff	192	(-.f64 (.f64 a a) (.f64 b b))

Rules

24 584×	`accelerator-lowering-fma.f32`
24 584×	`accelerator-lowering-fma.f64`
5 200×	`+-lowering-+.f64`
5 200×	`+-lowering-+.f32`
3 904×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	13	15
2	24	15
3	50	15
4	113	15
5	316	15
6	587	15
7	1255	15
8	2543	15
9	4209	15
10	5079	15
11	5448	15
12	5678	15
13	5792	15
14	5792	15
15	6752	15
16	6912	15
17	7232	15
18	7232	15
19	7632	15
20	7792	15
21	7872	15
22	7872	15
23	7872	15
0	10335	15

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* a a) (* b b))
(* a a)
a
(* b b)
b

Outputs
(- (* a a) (* b b))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* a a)
(fma.f64 a a #s(literal 0 binary64))
a
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b

localize17.0ms (0.2%)

Memory

2.4MiB live, 40.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	94.1%	(-.f64 (.f64 a a) (.f64 b b))

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 3.0ms (69% of total)

ival-sub: 1.0ms (23% of total)

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

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

series2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (- (* a a) (* b b))>
#<alt (* a a)>
#<alt (* b b)>

Outputs
#<alt (* -1 (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(- (* a a) (* b b))
0.0ms	a	@	inf	(- (* a a) (* b b))
0.0ms	b	@	0	(- (* a a) (* b b))
0.0ms	b	@	inf	(- (* a a) (* b b))
0.0ms	a	@	-inf	(- (* a a) (* b b))

rewrite687.0ms (7.2%)

Memory

18.9MiB live, 737.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 026×	`accelerator-lowering-fma.f32`
8 026×	`accelerator-lowering-fma.f64`
4 450×	`/-lowering-/.f32`
4 450×	`/-lowering-/.f64`
3 184×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	29	13
2	213	13
3	1966	13
0	8786	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 252

Calls

Call 1

Inputs
(- (* a a) (* b b))
(* a a)
(* b b)

Outputs
(+.f64 (.f64 a a) (-.f64 #s(literal 0 binary64) (.f64 b b)))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 a a))
(+.f64 (/.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a))))))))
(+.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b b (.f64 a a))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 a a)))))
(+.f64 (.f64 (+.f64 a b) a) (.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) b))
(+.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) a))
(+.f64 (.f64 a (+.f64 a b)) (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 a b)))
(+.f64 (.f64 a (-.f64 a b)) (.f64 b (-.f64 a b)))
(+.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1 binary64)))
(-.f64 (.f64 a a) (.f64 b b))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))) (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b b (.f64 a a))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 a a))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 b b))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b b (.f64 a a)))) (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b b (.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 a a)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))))) (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 a b) (.f64 a a)))) (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 a b) (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 a b) (.f64 a a)))) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))))) (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 a b) (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 a b) (.f64 a a)))) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 a b) (.f64 a a)))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (-.f64 #s(literal 0 binary64) (.f64 b b))))))) (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (-.f64 #s(literal 0 binary64) (.f64 b b))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (-.f64 #s(literal 0 binary64) (.f64 b b))))))) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))))) (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (-.f64 #s(literal 0 binary64) (.f64 b b))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (-.f64 #s(literal 0 binary64) (.f64 b b))))))) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (-.f64 #s(literal 0 binary64) (.f64 b b))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (fma.f64 a (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 b b (.f64 a a))) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 a (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 b b (.f64 a a))))
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(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))) (/.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a))))))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))))) (.f64 (/.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))))) (pow.f64 (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 a a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b b (.f64 a a))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b b (.f64 a a))) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 a a)))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 a a))))) (.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b b (.f64 a a))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 a a))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 a b) a) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 a b) a) (.f64 (+.f64 a b) a) (-.f64 (.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b)) (.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b))) (.f64 (.f64 (+.f64 a b) a) (.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 a b) b) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) a) (-.f64 (.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) b)) (.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) b)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 a b) b) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) b) (-.f64 (.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) a)) (.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 a b)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 a b)) #s(literal 3 binary64))) (fma.f64 (.f64 a (+.f64 a b)) (.f64 a (+.f64 a b)) (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 a b)) (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 a b))) (.f64 (.f64 a (+.f64 a b)) (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 a b))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (-.f64 a b)) #s(literal 3 binary64)) (pow.f64 (.f64 b (-.f64 a b)) #s(literal 3 binary64))) (fma.f64 (.f64 a (-.f64 a b)) (.f64 a (-.f64 a b)) (-.f64 (.f64 (.f64 b (-.f64 a b)) (.f64 b (-.f64 a b))) (.f64 (.f64 a (-.f64 a b)) (.f64 b (-.f64 a b))))))
(/.f64 (+.f64 (pow.f64 (.f64 b (-.f64 a b)) #s(literal 3 binary64)) (pow.f64 (.f64 a (-.f64 a b)) #s(literal 3 binary64))) (fma.f64 (.f64 b (-.f64 a b)) (.f64 b (-.f64 a b)) (-.f64 (.f64 (.f64 a (-.f64 a b)) (.f64 a (-.f64 a b))) (.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)) (.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (*.f64 a a))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 3 binary64)) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 b b)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64))
(.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))))
(.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a))))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (*.f64 a a))))))))
(.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a))))) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))))
(.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(.f64 (fma.f64 b b (.f64 a a)) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))
(.f64 (fma.f64 b b (.f64 a a)) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b b (.f64 a a))))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 (-.f64 a b) (+.f64 a b))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b b (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 a a)))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b b (.f64 a a))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (fma.f64 (.f64 b (+.f64 a b)) (.f64 b (-.f64 b a)) (.f64 a (.f64 a (*.f64 a a)))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b b (.f64 a a))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b b (.f64 a a)))) (.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))))) (fma.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))) (-.f64 (.f64 b (.f64 b (fma.f64 b b (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))))))
(.f64 (/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a))))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (fma.f64 b b (.f64 a a))))))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (fma.f64 b b (*.f64 a a))))))
(.f64 (pow.f64 (/.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a))))) (fma.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a)))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a (.f64 a (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a (.f64 a (*.f64 a a)))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 b b (.f64 a a))))) (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b)))))
(.f64 (pow.f64 (/.f64 (fma.f64 b b (.f64 a a)) (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 b b (.f64 a a)) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b b (.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 1 binary64)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 a))
(*.f64 a a)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 1 binary64)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(*.f64 b b)
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))

simplify457.0ms (4.8%)

Memory

5.6MiB live, 315.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 540×	`accelerator-lowering-fma.f32`
12 540×	`accelerator-lowering-fma.f64`
3 658×	`-lowering-.f32`
3 658×	`-lowering-.f64`
1 136×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	39	219
2	113	219
3	468	219
4	1684	219
5	2832	219
6	4991	219
0	8406	219

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)

Outputs
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(- (pow a 2) (pow b 2))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(- (pow a 2) (pow b 2))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(- (pow a 2) (pow b 2))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))

eval51.0ms (0.5%)

Memory: -41.7MiB live, 60.8MiB allocated
Compiler: Compiled 16 299 to 752 computations (95.4% saved)

prune36.0ms (0.4%)

Memory

5.6MiB live, 83.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	296	4	300
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	297	4	301

Accuracy

100.0%

Counts

301 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (-.f64 #s(literal 0 binary64) b) b (*.f64 a a))
▶	56.5%	(fma.f64 a a #s(literal 0 binary64))
▶	48.6%	(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
▶	100.0%	(*.f64 (-.f64 a b) (+.f64 a b))

Compiler

Compiled 33 to 20 computations (39.4% saved)

simplify1.3s (13.8%)

Memory

50.1MiB live, 1 744.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 a a)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) b)
✓	cost-diff	192	(fma.f64 (-.f64 #s(literal 0 binary64) b) b (*.f64 a a))
✓	cost-diff	0	(fma.f64 a a #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 b b #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
✓	cost-diff	-64	(*.f64 (-.f64 a b) (+.f64 a b))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(-.f64 a b)

Rules

58 480×	`accelerator-lowering-fma.f32`
58 480×	`accelerator-lowering-fma.f64`
7 684×	`+-lowering-+.f64`
7 684×	`+-lowering-+.f32`
6 192×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	35	44
2	73	44
3	169	44
4	335	44
5	706	44
6	1711	44
7	2850	44
8	3853	44
9	4321	44
10	4534	44
11	4653	44
12	4663	44
13	5815	44
14	6007	44
15	6199	44
16	6295	44
17	6295	44
18	6679	44
19	6775	44
20	6871	44
21	6871	44
22	6871	44
23	6871	44
0	11018	44

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (- a b) (+ a b))
(- a b)
a
b
(+ a b)
(- 0 (+ (* b b) 0))
0
(+ (* b b) 0)
b
(+ (* a a) 0)
a
0
(+ (* (- 0 b) b) (* a a))
(- 0 b)
0
b
(* a a)
a

Outputs
(* (- a b) (+ a b))
(fma.f64 (-.f64 a b) (+.f64 a b) #s(literal 0 binary64))
(- a b)
(-.f64 a b)
a
b
(+ a b)
(+.f64 a b)
(- 0 (+ (* b b) 0))
(fma.f64 b (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* b b) 0)
(fma.f64 b b #s(literal 0 binary64))
b
(+ (* a a) 0)
(fma.f64 a a #s(literal 0 binary64))
a
0
#s(literal 0 binary64)
(+ (* (- 0 b) b) (* a a))
(fma.f64 (-.f64 a b) (+.f64 a b) #s(literal 0 binary64))
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
b
(* a a)
(fma.f64 a a #s(literal 0 binary64))
a

localize43.0ms (0.5%)

Memory

-18.7MiB live, 67.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) b)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	97.3%	(fma.f64 (-.f64 #s(literal 0 binary64) b) b (*.f64 a a))
✓	accuracy	100.0%	(fma.f64 a a #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 b b #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
✓	accuracy	100.0%	(-.f64 a b)
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 (-.f64 a b) (+.f64 a b))

Samples

28.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

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

ival-mult: 10.0ms (56% of total)

ival-add: 4.0ms (22.4% of total)

ival-sub: 3.0ms (16.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

9 → 156

Calls

Call 1

Inputs
#<alt (- a b)>
#<alt (+ a b)>
#<alt (* (- a b) (+ a b))>
#<alt (- 0 (+ (* b b) 0))>
#<alt (+ (* b b) 0)>
#<alt (+ (* a a) 0)>
#<alt (+ (* (- 0 b) b) (* a a))>
#<alt (- 0 b)>
#<alt (* a a)>

Outputs
#<alt (* -1 b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (pow b 2))>
#<alt (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))>
#<alt (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))>
#<alt (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))>
#<alt (pow a 2)>
#<alt (+ (* b (+ a (* -1 a))) (pow a 2))>
#<alt (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))>
#<alt (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))>
#<alt (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))>
#<alt (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))>
#<alt (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))>
#<alt (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(+ (* (- 0 b) b) (* a a))
0.0ms	b	@	0	(+ a b)
0.0ms	a	@	-inf	(* (- a b) (+ a b))
0.0ms	a	@	inf	(* (- a b) (+ a b))
0.0ms	b	@	inf	(* (- a b) (+ a b))

rewrite351.0ms (3.7%)

Memory

10.3MiB live, 650.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 974×	`accelerator-lowering-fma.f32`
5 974×	`accelerator-lowering-fma.f64`
2 652×	`/-lowering-/.f32`
2 652×	`/-lowering-/.f64`
2 176×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	106	36
2	1096	33
0	9741	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 1 394

Calls

Call 1

Inputs
(- a b)
(+ a b)
(* (- a b) (+ a b))
(- 0 (+ (* b b) 0))
(+ (* b b) 0)
(+ (* a a) 0)
(+ (* (- 0 b) b) (* a a))
(- 0 b)
(* a a)

Outputs
(+.f64 a b)
(+.f64 b a)
(+.f64 (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a a (.f64 b (+.f64 a b)))) (neg.f64 (/.f64 (.f64 b (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (.f64 b (+.f64 a b))))))
(+.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (+.f64 a b)) (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 a b))))
(-.f64 a b)
(-.f64 (+.f64 a b) (/.f64 #s(literal 0 binary64) (+.f64 a b)))
(-.f64 (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a a (.f64 b (+.f64 a b)))) (/.f64 (.f64 b (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (.f64 b (+.f64 a b)))))
(-.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (+.f64 a b)) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 a b)))
(-.f64 (/.f64 (/.f64 (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (+.f64 a b) (-.f64 b a) #s(literal 0 binary64))) (+.f64 a b)) (/.f64 (/.f64 (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (+.f64 a b) (-.f64 b a) #s(literal 0 binary64))) (+.f64 a b)))
(-.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 b a)) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 b a)))
(fma.f64 b (/.f64 b b) a)
(fma.f64 b (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))) a)
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b) a)
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) b)) a)
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a b)) (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 a b))))
(fma.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) a)
(fma.f64 (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) b)) a)
(fma.f64 (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b (fma.f64 b b #s(literal 0 binary64)))) a)
(fma.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b (+.f64 a b)))) (neg.f64 (/.f64 (.f64 b (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (.f64 b (+.f64 a b))))))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) a)
(fma.f64 (.f64 b (fma.f64 b b #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))) a)
(fma.f64 #s(literal 1 binary64) b a)
(fma.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 b b #s(literal 0 binary64)) a)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) a)
(fma.f64 #s(literal -1 binary64) b a)
(fma.f64 (/.f64 (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (.f64 a (fma.f64 a a #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))) (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 a b))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (.f64 a (fma.f64 a a #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b (+.f64 a b))))) (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 a b))))
(fma.f64 (/.f64 a (fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (+.f64 a b)) (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 a b))))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 a b))))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 b b) a)
(fma.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) b) a)
(fma.f64 (/.f64 b b) b a)
(fma.f64 (/.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) b) a)
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) a)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) b) a)
(fma.f64 (/.f64 (/.f64 (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) a)
(fma.f64 (/.f64 (/.f64 (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) a)
(fma.f64 (/.f64 (/.f64 (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64)) b a)
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(fma.f64 (/.f64 a (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a a #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64))))
(.f64 (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))))
(.f64 (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) a) (/.f64 (fma.f64 a a #s(literal 0 binary64)) a))
(.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) a) (/.f64 (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(.f64 (/.f64 (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (/.f64 (fma.f64 a a #s(literal 0 binary64)) a))
(*.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a a #s(literal 0 binary64)))
(.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a (fma.f64 a a #s(literal 0 binary64)))) (/.f64 (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) a))
(.f64 (/.f64 (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) a) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) a) (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) a) (/.f64 a a))
(.f64 (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64)))) (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) a))
(.f64 (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a a #s(literal 0 binary64))))
(.f64 (/.f64 a a) (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) a))
(.f64 (/.f64 a (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))))
(.f64 (/.f64 a (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64)))))
(.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64))))

simplify670.0ms (7%)

Memory

23.2MiB live, 565.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 540×	`accelerator-lowering-fma.f32`
15 540×	`accelerator-lowering-fma.f64`
2 570×	`--lowering--.f32`
2 570×	`--lowering--.f64`
2 510×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	726
1	279	576
2	828	576
3	3579	576
0	8771	576

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* -1 b)
(- a b)
(- a b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(pow a 2)
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(* -1 (pow b 2))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* -1 (pow b 2))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)

Outputs
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
a
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
a
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
b
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(+ (* b (+ a (* -1 a))) (pow a 2))
(fma.f64 a a #s(literal 0 binary64))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (-.f64 a b) (+.f64 b a) #s(literal 0 binary64))
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))

eval195.0ms (2%)

Memory: -5.6MiB live, 264.6MiB allocated
Compiler: Compiled 45 458 to 1 903 computations (95.8% saved)

prune142.0ms (1.5%)

Memory

-6.3MiB live, 311.0MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 547	3	1 550
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	1 550	4	1 554

Accuracy

100.0%

Counts

1 554 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (neg.f64 b) b (*.f64 a a))
▶	48.6%	(-.f64 #s(literal 0 binary64) (*.f64 b b))
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 a b))
▶	56.5%	(*.f64 a a)

Compiler

Compiled 30 to 18 computations (40% saved)

simplify1.2s (12.1%)

Memory

-10.3MiB live, 518.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 a a)
✓	cost-diff	-64	(neg.f64 b)
✓	cost-diff	192	(fma.f64 (neg.f64 b) b (*.f64 a a))
✓	cost-diff	-64	(*.f64 b b)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 b b))
✓	cost-diff	-64	(*.f64 a a)

Rules

16 176×	`accelerator-lowering-fma.f32`
16 176×	`accelerator-lowering-fma.f64`
2 952×	`--lowering--.f32`
2 952×	`--lowering--.f64`
2 460×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	17	27
2	30	27
3	56	27
4	88	27
5	177	27
6	575	27
7	1014	27
8	1773	27
9	2691	27
10	3494	27
11	3960	27
12	4065	27
13	4111	27
14	4129	27
15	6391	27
16	7096	27
17	7740	27
0	8011	27

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* a a)
a
(- 0 (* b b))
0
(* b b)
b
(+ (* (neg b) b) (* a a))
(neg b)
b
(* a a)
a

Outputs
(* a a)
(fma.f64 a a #s(literal 0 binary64))
a
(- 0 (* b b))
(fma.f64 b (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
(+ (* (neg b) b) (* a a))
(fma.f64 (-.f64 a b) (+.f64 a b) #s(literal 0 binary64))
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(* a a)
(fma.f64 a a #s(literal 0 binary64))
a

localize155.0ms (1.6%)

Memory

14.4MiB live, 51.5MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	97.3%	(fma.f64 (neg.f64 b) b (*.f64 a a))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 b b))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a a)

Samples

16.0ms

256×

valid

Compiler

Compiled 30 to 11 computations (63.3% saved)

Precisions

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

ival-mult: 5.0ms (61.3% of total)

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

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

ival-neg: 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)

series1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

5 → 72

Calls

Call 1

Inputs
#<alt (* a a)>
#<alt (- 0 (* b b))>
#<alt (* b b)>
#<alt (+ (* (neg b) b) (* a a))>
#<alt (neg b)>

Outputs
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow a 2)>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(* a a)
0.0ms	b	@	inf	(+ (* (neg b) b) (* a a))
0.0ms	a	@	0	(* a a)
0.0ms	b	@	-inf	(+ (* (neg b) b) (* a a))
0.0ms	b	@	0	(- 0 (* b b))

rewrite289.0ms (3%)

Memory

-33.8MiB live, 216.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 428×	`accelerator-lowering-fma.f32`
2 428×	`accelerator-lowering-fma.f64`
1 842×	`-lowering-.f32`
1 842×	`-lowering-.f64`
1 366×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	45	20
2	414	17
3	6645	17
0	8199	16

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 290

Calls

Call 1

Inputs
(* a a)
(- 0 (* b b))
(* b b)
(+ (* (neg b) b) (* a a))
(neg b)

Outputs
(+.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 a))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 a a #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) #s(literal 0 binary64))
(/.f64 (fma.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 0 binary64)) (-.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(+.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(+.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 b) #s(literal 0 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 b))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(-.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 b b #s(literal 0 binary64))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
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(*.f64 (+.f64 a b) (-.f64 a b))
(.f64 (/.f64 (.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 (+.f64 b a) (-.f64 b a) #s(literal 0 binary64))) (*.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 (+.f64 b a) (-.f64 b a) #s(literal 0 binary64)))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 (+.f64 b a) (-.f64 b a) #s(literal 0 binary64))) (.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (.f64 a (fma.f64 a a #s(literal 0 binary64)))) (-.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 a (fma.f64 a a #s(literal 0 binary64)))))) (fma.f64 a (.f64 a (fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))))) (fma.f64 (.f64 a (.f64 a (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))))) (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (.f64 a (.f64 a (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))))))) (fma.f64 (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (.f64 a (.f64 a (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))))) (.f64 (fma.f64 a (.f64 a (fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 a (.f64 a (fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))))))) (-.f64 (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 a (.f64 a (fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))))))
b
(+.f64 #s(literal 0 binary64) b)
(+.f64 b #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) b)
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 b)
(/.f64 (fma.f64 b b #s(literal 0 binary64)) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 b (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(pow.f64 b #s(literal 1 binary64))
(pow.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))
(pow.f64 (pow.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 b #s(literal -1 binary64))
(*.f64 b #s(literal 1 binary64))
(*.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) b)
(*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 b b #s(literal 0 binary64))))
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))

simplify514.0ms (5.4%)

Memory

12.3MiB live, 286.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 736×	`accelerator-lowering-fma.f32`
9 736×	`accelerator-lowering-fma.f64`
3 598×	`-lowering-.f32`
3 598×	`-lowering-.f64`
1 100×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	309
1	40	291
2	107	291
3	437	291
4	1643	291
5	2768	291
6	4760	291
0	8211	291

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)

Outputs
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* -1 (pow b 2))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 a b) (-.f64 a b) #s(literal 0 binary64))
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)

eval71.0ms (0.7%)

Memory: 28.2MiB live, 66.1MiB allocated
Compiler: Compiled 9 186 to 496 computations (94.6% saved)

prune77.0ms (0.8%)

Memory

-4.5MiB live, 72.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	389	0	389
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	389	4	393

Accuracy

100.0%

Counts

393 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(fma.f64 (neg.f64 b) b (*.f64 a a))
✓	48.6%	(-.f64 #s(literal 0 binary64) (*.f64 b b))
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 a b))
✓	56.5%	(*.f64 a a)

Compiler

Compiled 79 to 35 computations (55.7% saved)

regimes213.0ms (2.2%)

Memory

-25.1MiB live, 19.6MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 a a)
(fma.f64 a a #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))
(*.f64 (-.f64 a b) (+.f64 a b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 (-.f64 #s(literal 0 binary64) b) b (*.f64 a a))

Outputs
(*.f64 (-.f64 a b) (+.f64 a b))

Calls

5 calls:

201.0ms	b
3.0ms	a
3.0ms	(*.f64 b b)
3.0ms	(*.f64 a a)
3.0ms	(-.f64 (.f64 a a) (.f64 b b))

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(-.f64 (.f64 a a) (.f64 b b))`
100.0%	1	`(*.f64 a a)`
100.0%	1	`(*.f64 b b)`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes10.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 a a)
(fma.f64 a a #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(*.f64 a a)

Calls

5 calls:

2.0ms	a
2.0ms	b
2.0ms	(-.f64 (.f64 a a) (.f64 b b))
2.0ms	(*.f64 b b)
2.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
75.0%	2	`a`
80.3%	2	`b`
96.5%	2	`(-.f64 (.f64 a a) (.f64 b b))`
75.0%	2	`(*.f64 a a)`
80.3%	2	`(*.f64 b b)`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes40.0ms (0.4%)

Memory

-22.1MiB live, 16.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 a a)
(fma.f64 a a #s(literal 0 binary64))

Outputs
(*.f64 a a)

Calls

5 calls:

34.0ms	a
1.0ms	b
1.0ms	(-.f64 (.f64 a a) (.f64 b b))
1.0ms	(*.f64 b b)
1.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
56.5%	1	`a`
56.5%	1	`(*.f64 a a)`
56.5%	1	`b`
56.5%	1	`(*.f64 b b)`
56.5%	1	`(-.f64 (.f64 a a) (.f64 b b))`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.111887689297518e-300	0.0

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify8.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`*-commutative_binary64`
4×	`cancel-sign-sub-inv_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	24	27
2	32	27
3	35	27
4	36	27

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (-.f64 a b) (+.f64 a b))

(if (<=.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a a))

(*.f64 a a)

Outputs
(*.f64 (-.f64 a b) (+.f64 a b))
(if (<=.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 a a))
(if (<=.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (.f64 b (-.f64 #s(literal 0 binary64) b)) (.f64 a a))
(*.f64 a a)

soundness754.0ms (7.9%)

Memory

-19.3MiB live, 431.5MiB allocated

Rules

12 540×	`accelerator-lowering-fma.f32`
12 540×	`accelerator-lowering-fma.f64`
8 026×	`accelerator-lowering-fma.f32`
8 026×	`accelerator-lowering-fma.f64`
5 974×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	106	36
2	1096	33
0	9741	31
0	5	13
1	29	13
2	213	13
3	1966	13
0	8786	13
0	17	219
1	39	219
2	113	219
3	468	219
4	1684	219
5	2832	219
6	4991	219
0	8406	219

Stop Event

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

Compiler

Compiled 76 to 43 computations (43.4% saved)

preprocess32.0ms (0.3%)

Memory

14.2MiB live, 90.8MiB allocated

Remove

(abs b)

(abs a)

Compiler

Compiled 132 to 68 computations (48.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample690.0ms (7.2%)

preprocess853.0ms (8.9%)

explain58.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify690.0ms (7.2%)

localize17.0ms (0.2%)

series2.0ms (0%)

rewrite687.0ms (7.2%)

simplify457.0ms (4.8%)

eval51.0ms (0.5%)

prune36.0ms (0.4%)

simplify1.3s (13.8%)

localize43.0ms (0.5%)

series5.0ms (0%)

rewrite351.0ms (3.7%)

simplify670.0ms (7%)

eval195.0ms (2%)

prune142.0ms (1.5%)

simplify1.2s (12.1%)

localize155.0ms (1.6%)

series1.0ms (0%)

rewrite289.0ms (3%)

simplify514.0ms (5.4%)

eval71.0ms (0.7%)

prune77.0ms (0.8%)

regimes213.0ms (2.2%)

regimes10.0ms (0.1%)

regimes40.0ms (0.4%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness754.0ms (7.9%)

preprocess32.0ms (0.3%)

end0.0ms (0%)

Profiling