Metrics for Expression 4, p15

analyze18.0ms (0.4%)

Memory

-3.5MiB live, 37.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
87.5%	0%	0%	100%	0%	0%	0%	8
93.8%	0%	0%	100%	0%	0%	0%	9
93.8%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
96.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.1s (23.9%)

Memory

-0.1MiB live, 1 581.5MiB allocated

Samples

613.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 428.0ms

const: 167.0ms (39% of total)

ival-<=: 108.0ms (25.2% of total)

ival-add: 62.0ms (14.5% of total)

ival-mult: 52.0ms (12.1% of total)

ival-and: 23.0ms (5.4% of total)

exact: 13.0ms (3% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess96.0ms (2.1%)

Memory

14.8MiB live, 50.5MiB allocated

Algorithm

2×	egg-herbie

Rules

570×	`distribute-rgt-in`
516×	`unsub-neg`
444×	`distribute-lft-in`
290×	`associate-+l-`
284×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	61	42
2	216	42
3	542	42
4	1086	42
5	1973	42
6	2789	42
7	2935	42
8	2935	42
9	2935	42
10	2977	42
11	2993	42
0	4	7
1	11	7
2	25	7
3	53	7
4	76	7
5	92	7
6	101	7
7	107	7
0	107	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (+ a b) (+ a b))

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

Call 2

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

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

Symmetry

(sort a b)

explain127.0ms (2.7%)

Memory

-5.2MiB live, 67.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 a b)`
-	-	`(*.f64 (+.f64 a b) (+.f64 a b))`
-	-	`a`
-	-	`b`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

61.0ms

512×

valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (46.9% of total)

ival-mult: 3.0ms (46.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(*.f64 (+.f64 a b) (+.f64 a b))

Rules

124×	`accelerator-lowering-fma.f32`
124×	`accelerator-lowering-fma.f64`
86×	`+-lowering-+.f64`
86×	`+-lowering-+.f32`
48×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
1	11	12
2	25	12
3	53	12
4	76	12
5	92	12
6	101	12
7	107	12
0	107	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ a b) (+ a b))
(+ a b)
a
b

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

localize59.0ms (1.3%)

Memory

-19.4MiB live, 30.6MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (61.6% of total)

ival-mult: 1.0ms (30.8% of total)

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

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

series2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite571.0ms (12.2%)

Memory

5.6MiB live, 916.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 646×	`-lowering-.f32`
5 646×	`-lowering-.f64`
4 194×	`accelerator-lowering-fma.f32`
4 194×	`accelerator-lowering-fma.f64`
3 878×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	26	8
2	218	8
3	2800	8
0	9133	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 989

Calls

Call 1

Inputs
(* (+ a b) (+ a b))
(+ a b)

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

simplify309.0ms (6.6%)

Memory

-5.0MiB live, 202.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
2 898×	`-lowering-.f32`
2 898×	`-lowering-.f64`
1 650×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
1	193	264
2	490	264
3	1595	252
4	3905	252
5	6954	252
0	8103	222

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval169.0ms (3.6%)

Memory: 18.9MiB live, 405.3MiB allocated
Compiler: Compiled 52 177 to 2 962 computations (94.3% saved)

prune195.0ms (4.2%)

Memory

-35.1MiB live, 391.6MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1 149	4	1 153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 149	5	1 154

Accuracy

100.0%

Counts

1 154 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	99.4%	(*.f64 (+.f64 a b) b)
▶	99.8%	(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
▶	99.4%	(*.f64 b b)

Compiler

Compiled 41 to 21 computations (48.8% saved)

simplify7.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a (+.f64 a b))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	384	(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(*.f64 (+.f64 a b) b)
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) a b)
✓	cost-diff	0	(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
✓	cost-diff	0	(*.f64 b b)

Rules

124×	`accelerator-lowering-fma.f32`
124×	`accelerator-lowering-fma.f64`
86×	`+-lowering-+.f64`
86×	`+-lowering-+.f32`
46×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	27	46
2	50	46
3	71	46
4	94	46
5	108	46
0	108	44

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* b b)
b
(* b (+ (* 2 a) b))
b
(+ (* 2 a) b)
2
a
(* (+ a b) b)
(+ a b)
a
b
(+ (* (+ a b) b) (* a (+ a b)))
(+ a b)
a
b
(* a (+ a b))

Outputs
(* b b)
(*.f64 b b)
b
(* b (+ (* 2 a) b))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
b
(+ (* 2 a) b)
(fma.f64 #s(literal 2 binary64) a b)
2
#s(literal 2 binary64)
a
(* (+ a b) b)
(*.f64 b (+.f64 b a))
(+ a b)
(+.f64 b a)
a
b
(+ (* (+ a b) b) (* a (+ a b)))
(*.f64 (+.f64 b a) (+.f64 b a))
(+ a b)
(+.f64 b a)
a
b
(* a (+ a b))
(*.f64 a (+.f64 b a))

localize35.0ms (0.8%)

Memory

1.8MiB live, 79.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 a (+.f64 a b))
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 (+.f64 a b) b)
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) a b)
✓	accuracy	100.0%	(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
✓	accuracy	100.0%	(*.f64 b b)

Samples

21.0ms

256×

valid

Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions

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

ival-mult: 7.0ms (60.7% of total)

ival-add: 4.0ms (34.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

7 → 156

Calls

Call 1

Inputs
#<alt (* b b)>
#<alt (* b (+ (* 2 a) b))>
#<alt (+ (* 2 a) b)>
#<alt (* (+ a b) b)>
#<alt (+ a b)>
#<alt (+ (* (+ a b) b) (* a (+ a b)))>
#<alt (* a (+ a b))>

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

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(* b (+ (* 2 a) b))
0.0ms	b	@	0	(* b (+ (* 2 a) b))
0.0ms	b	@	-inf	(* b (+ (* 2 a) b))
0.0ms	b	@	-inf	(* (+ a b) b)
0.0ms	b	@	0	(* b b)

rewrite419.0ms (9%)

Memory

7.0MiB live, 477.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 278×	`accelerator-lowering-fma.f32`
8 278×	`accelerator-lowering-fma.f64`
4 878×	`-lowering-.f32`
4 878×	`-lowering-.f64`
3 064×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	59	35
2	533	33
3	7294	33
0	8345	31

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 449

Calls

Call 1

Inputs
(* b b)
(* b (+ (* 2 a) b))
(+ (* 2 a) b)
(* (+ a b) b)
(+ a b)
(+ (* (+ a b) b) (* a (+ a b)))
(* a (+ a b))

Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(*.f64 b b)
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(+.f64 (.f64 b b) (.f64 b (*.f64 #s(literal 2 binary64) a)))
(+.f64 (.f64 b (.f64 #s(literal 2 binary64) a)) (*.f64 b b))
(-.f64 (/.f64 (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 4 binary64)))) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 b b (.f64 b (.f64 #s(literal 2 binary64) a)))
(fma.f64 b (.f64 #s(literal 2 binary64) a) (.f64 b b))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 b b))
(fma.f64 a (.f64 b #s(literal 2 binary64)) (.f64 b b))
(fma.f64 (.f64 #s(literal 2 binary64) a) b (.f64 b b))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 b (.f64 #s(literal 2 binary64) a)))
(/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)))
(/.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 4 binary64))))))
(/.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 4 binary64)))) (.f64 b (.f64 b (.f64 b (.f64 #s(literal 2 binary64) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 4 binary64))))) (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (.f64 a #s(literal 4 binary64)))) (.f64 b (fma.f64 b (.f64 b b) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) (.f64 b (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (*.f64 b b)))))
(/.f64 (.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(/.f64 (.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))
(/.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)))) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (.f64 a #s(literal 4 binary64)))))
(/.f64 (.f64 b (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b))) (-.f64 (*.f64 #s(literal 2 binary64) a) b))
(/.f64 (neg.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 (.f64 b b) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))) (neg.f64 (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(/.f64 (neg.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))))) (neg.f64 (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (.f64 a #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 b (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)))
(/.f64 (.f64 b (neg.f64 (fma.f64 b (.f64 b b) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))))) (neg.f64 (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (.f64 a #s(literal 4 binary64))))))
(/.f64 (.f64 b (neg.f64 (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(/.f64 (.f64 b (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a)))) (-.f64 b (.f64 #s(literal 2 binary64) a)))
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)))
(/.f64 (.f64 (neg.f64 (fma.f64 b (.f64 b b) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)))) b) (neg.f64 (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (.f64 a #s(literal 4 binary64))))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b))) b) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(/.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a))) b) (-.f64 b (.f64 #s(literal 2 binary64) a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(.f64 (fma.f64 b (.f64 b b) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (*.f64 a #s(literal 4 binary64))))) b))
(.f64 (fma.f64 b (.f64 b b) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))) (/.f64 b (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (.f64 a #s(literal 4 binary64))))))
(.f64 (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) a) b)) b))
(.f64 (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b)) (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 4 binary64)))))))
(.f64 (.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (*.f64 a #s(literal 4 binary64))))))
(.f64 (.f64 b (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(.f64 (/.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)))) (fma.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 64 binary64)))) (fma.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (-.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 a (.f64 a #s(literal 4 binary64)))) (.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 16 binary64))))
(.f64 (/.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)))) (-.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 16 binary64)) (.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))) (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))))
(.f64 (/.f64 (.f64 b (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b))) (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b))) (fma.f64 #s(literal 2 binary64) a b))
(.f64 (/.f64 (.f64 b (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b))) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (fma.f64 b (fma.f64 #s(literal 2 binary64) a b) (.f64 a (.f64 a #s(literal 4 binary64)))))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(+.f64 (*.f64 #s(literal 2 binary64) a) b)
(+.f64 (/.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(-.f64 (/.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(-.f64 (/.f64 (.f64 b b) (-.f64 b (.f64 #s(literal 2 binary64) a))) (/.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (-.f64 b (*.f64 #s(literal 2 binary64) a))))
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 a #s(literal 2 binary64) b)
(fma.f64 a (/.f64 (.f64 a #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 #s(literal 2 binary64) a) (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 a a) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 a a) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 a #s(literal 4 binary64)) (/.f64 a (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b))) (fma.f64 #s(literal 2 binary64) a b) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (/.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (fma.f64 b (fma.f64 #s(literal 2 binary64) a b) (.f64 a (.f64 a #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(neg.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))) (neg.f64 (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (*.f64 a #s(literal 4 binary64)))))))
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(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) a) (-.f64 b a))
(*.f64 a (+.f64 b a))
(*.f64 (+.f64 b a) a)
(.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a))) a))
(.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 a (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) a))
(.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 a (-.f64 a b)))
(.f64 (fma.f64 a (.f64 (.f64 a a) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b a) (-.f64 (.f64 b a) (.f64 a a))))))
(.f64 (.f64 (.f64 a (+.f64 b a)) (.f64 a (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 a b))))
(.f64 (.f64 a (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a))))
(.f64 (.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(.f64 (/.f64 (.f64 a (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fma.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 (.f64 b (-.f64 b a)) (.f64 b (-.f64 b a)))))) (fma.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))))
(.f64 (/.f64 (.f64 a (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(.f64 (/.f64 (.f64 a (.f64 (+.f64 b a) (-.f64 a b))) (.f64 (+.f64 b a) (-.f64 a b))) (+.f64 b a))
(.f64 (/.f64 (.f64 a (.f64 (+.f64 b a) (-.f64 a b))) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (.f64 a a)))

simplify326.0ms (7%)

Memory

-16.0MiB live, 463.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 268×	`accelerator-lowering-fma.f32`
10 268×	`accelerator-lowering-fma.f64`
3 144×	`-lowering-.f32`
3 144×	`-lowering-.f64`
1 424×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	768
1	316	768
2	839	768
3	2399	756
4	5081	756
5	7567	756
0	8040	690

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval223.0ms (4.8%)

Memory: -4.0MiB live, 148.9MiB allocated
Compiler: Compiled 18 696 to 1 411 computations (92.5% saved)

prune114.0ms (2.4%)

Memory

21.8MiB live, 176.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	767	0	767
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	767	5	772

Accuracy

100.0%

Counts

772 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.4%	(*.f64 (+.f64 a b) b)
✓	99.8%	(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
✓	99.4%	(*.f64 b b)

Compiler

Compiled 74 to 32 computations (56.8% saved)

regimes11.0ms (0.2%)

Memory

-11.8MiB live, 26.8MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (+.f64 a b) (+.f64 a b))
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))

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

Calls

4 calls:

3.0ms	b
2.0ms	(+.f64 a b)
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	a

Results

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

Compiler

Compiled 20 to 11 computations (45% saved)

regimes9.0ms (0.2%)

Memory

27.2MiB live, 27.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (+.f64 a b) (+.f64 a b))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 20 to 11 computations (45% saved)

regimes10.0ms (0.2%)

Memory

-18.0MiB live, 25.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))

Outputs
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))

Calls

4 calls:

4.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	(+.f64 a b)
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`b`
99.8%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.8%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes6.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	(+.f64 a b)
1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
99.4%	1	`a`
99.4%	1	`b`
99.4%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.4%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes6.0ms (0.1%)

Memory

-20.0MiB live, 18.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b b)

Outputs
(*.f64 b b)

Calls

4 calls:

2.0ms	(+.f64 a b)
1.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
99.4%	1	`a`
99.4%	1	`b`
99.4%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.4%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

simplify7.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	15	31

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (+.f64 a b) b)
(*.f64 b b)

Outputs
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (+.f64 a b) b)
(*.f64 b (+.f64 a b))
(*.f64 b b)

soundness611.0ms (13.1%)

Memory

2.9MiB live, 316.3MiB allocated

Rules

7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
5 646×	`-lowering-.f32`
5 646×	`-lowering-.f64`
4 194×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	26	8
2	218	8
3	2800	8
0	9133	8
0	65	264
1	193	264
2	490	264
3	1595	252
4	3905	252
5	6954	252
0	8103	222

Stop Event

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

Compiler

Compiled 65 to 28 computations (56.9% saved)

preprocess203.0ms (4.4%)

Memory: -27.4MiB live, 129.3MiB allocated
Compiler: Compiled 190 to 76 computations (60% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze18.0ms (0.4%)

sample1.1s (23.9%)

preprocess96.0ms (2.1%)

explain127.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize59.0ms (1.3%)

series2.0ms (0.1%)

rewrite571.0ms (12.2%)

simplify309.0ms (6.6%)

eval169.0ms (3.6%)

prune195.0ms (4.2%)

simplify7.0ms (0.1%)

localize35.0ms (0.8%)

series7.0ms (0.1%)

rewrite419.0ms (9%)

simplify326.0ms (7%)

eval223.0ms (4.8%)

prune114.0ms (2.4%)

regimes11.0ms (0.2%)

regimes9.0ms (0.2%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

simplify7.0ms (0.1%)

soundness611.0ms (13.1%)

preprocess203.0ms (4.4%)

end0.0ms (0%)

Profiling