Metrics for Expression 4, p15

analyze19.0ms (0.3%)

Memory

3.3MiB live, 42.1MiB 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)

sample2.4s (32.2%)

Memory

-3.7MiB live, 1 256.9MiB allocated

Samples

2.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-add: 1.1s (64.3% of total)

ival-<=: 246.0ms (14.8% of total)

ival-mult: 188.0ms (11.3% of total)

const: 122.0ms (7.3% of total)

ival-and: 22.0ms (1.3% of total)

exact: 13.0ms (0.8% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess84.0ms (1.1%)

Memory

-3.7MiB live, 34.9MiB 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)

explain50.0ms (0.7%)

Memory

-1.3MiB live, 99.7MiB 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

18.0ms

512×

valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

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

ival-add: 4.0ms (52.2% of total)

ival-mult: 3.0ms (39.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory

-36.4MiB live, 1.9MiB 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)

simplify7.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB 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

localize15.0ms (0.2%)

Memory

2.5MiB live, 40.0MiB 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

10.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-mult: 3.0ms (63.1% of total)

ival-add: 1.0ms (21% of total)

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

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

series2.0ms (0%)

Memory

6.9MiB live, 6.9MiB 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	@	inf	(* (+ a b) (+ a b))
0.0ms	a	@	0	(* (+ a b) (+ a b))
0.0ms	b	@	inf	(* (+ a b) (+ a b))

rewrite554.0ms (7.3%)

Memory

3.4MiB live, 951.0MiB 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 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) 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 #s(literal 0 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 #s(literal 0 binary64) (-.f64 a b)))
(/.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 (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (-.f64 b a))
(/.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 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))))
(/.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 (-.f64 a b) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (-.f64 a b) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (*.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (.f64 (fma.f64 a a (.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))))) #s(literal 1 binary64)) (.f64 (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))))) (fma.f64 a (-.f64 a b) (*.f64 b 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))) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b 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))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) #s(literal 1 binary64)) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (.f64 b b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 b a))) (neg.f64 (-.f64 b a)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (-.f64 a b) (.f64 (-.f64 a b) (-.f64 a b)))) (/.f64 (.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b))) (.f64 (-.f64 a b) (.f64 (-.f64 a b) (-.f64 a b))))) (fma.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 (.f64 a a) (-.f64 a b)) (fma.f64 (/.f64 (.f64 b b) (-.f64 a b)) (/.f64 (.f64 b b) (-.f64 a b)) (.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b))))))
(/.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 (-.f64 #s(literal 0 binary64) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.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)) (-.f64 #s(literal 0 binary64) (.f64 b b))) (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 a b)))))

simplify214.0ms (2.8%)

Memory

5.6MiB live, 327.8MiB 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)
(fma.f64 b b #s(literal 0 binary64))
(+ (* 2 (* a b)) (pow b 2))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(+ (* 2 (* a b)) (pow a 2))
(fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(pow b 2)
(fma.f64 b b #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
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)

eval182.0ms (2.4%)

Memory: 9.7MiB live, 441.5MiB allocated
Compiler: Compiled 53 466 to 2 965 computations (94.5% saved)

prune186.0ms (2.5%)

Memory

-32.3MiB live, 340.6MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1 148	5	1 153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 148	6	1 154

Accuracy

100.0%

Counts

1 154 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 a b) a (*.f64 b (+.f64 a b)))
▶	99.4%	(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
▶	100.0%	(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
▶	97.9%	(fma.f64 b b #s(literal 0 binary64))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	98.0%	(*.f64 (+.f64 a b) b)

Compiler

Compiled 101 to 56 computations (44.6% saved)

simplify10.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 b (+.f64 a b))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	384	(fma.f64 (+.f64 a b) a (*.f64 b (+.f64 a b)))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) a b)
✓	cost-diff	0	(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 (+.f64 a b) b)
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(fma.f64 b b #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 b #s(literal 2 binary64) a)
✓	cost-diff	0	(fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64))
✓	cost-diff	384	(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))

Rules

162×	`accelerator-lowering-fma.f32`
162×	`accelerator-lowering-fma.f64`
130×	`+-lowering-+.f64`
130×	`+-lowering-+.f32`
82×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	79
1	49	79
2	106	79
3	144	71
4	169	71
5	178	71
0	178	67

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* b b) (+ (* a (+ (* b 2) a)) 0))
b
(+ (* a (+ (* b 2) a)) 0)
a
(+ (* b 2) a)
2
0
(+ (* b b) 0)
b
0
(* (+ a b) b)
(+ a b)
a
b
(+ (* b (+ (* 2 a) b)) 0)
b
(+ (* 2 a) b)
2
a
0
(+ (* (+ a b) a) (* b (+ a b)))
(+ a b)
a
b
(* b (+ a b))

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

localize56.0ms (0.7%)

Memory

0.2MiB live, 120.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (+.f64 a b) a (*.f64 b (+.f64 a b)))
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 b (+.f64 a b))
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) a b)
✓	accuracy	100.0%	(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 (+.f64 a b) b)
✓	accuracy	100.0%	(fma.f64 b b #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))
✓	accuracy	100.0%	(fma.f64 b #s(literal 2 binary64) a)
✓	accuracy	100.0%	(fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64))

Samples

36.0ms

256×

valid

Compiler

Compiled 78 to 22 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 16.0ms (65.1% of total)

ival-add: 8.0ms (32.5% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-15.5MiB live, 21.1MiB allocated

Counts

10 → 228

Calls

Call 1

Inputs
#<alt (+ (* b b) (+ (* a (+ (* b 2) a)) 0))>
#<alt (+ (* a (+ (* b 2) a)) 0)>
#<alt (+ (* b 2) a)>
#<alt (+ (* b b) 0)>
#<alt (+ a b)>
#<alt (* (+ a b) b)>
#<alt (+ (* b (+ (* 2 a) b)) 0)>
#<alt (+ (* 2 a) b)>
#<alt (+ (* (+ a b) a) (* b (+ a b)))>
#<alt (* b (+ a b))>

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

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(+ (* b (+ (* 2 a) b)) 0)
0.0ms	a	@	-inf	(+ (* b b) (+ (* a (+ (* b 2) a)) 0))
0.0ms	b	@	-inf	(+ (* b (+ (* 2 a) b)) 0)
0.0ms	b	@	0	(+ (* b (+ (* 2 a) b)) 0)
0.0ms	b	@	-inf	(* (+ a b) b)

rewrite766.0ms (10.1%)

Memory

13.7MiB live, 885.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 896×	`accelerator-lowering-fma.f32`
6 896×	`accelerator-lowering-fma.f64`
4 808×	`-lowering-.f32`
4 808×	`-lowering-.f64`
4 782×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	62
1	135	58
2	1561	56
0	8706	50

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1 164

Calls

Call 1

Inputs
(+ (* b b) (+ (* a (+ (* b 2) a)) 0))
(+ (* a (+ (* b 2) a)) 0)
(+ (* b 2) a)
(+ (* b b) 0)
(+ a b)
(* (+ a b) b)
(+ (* b (+ (* 2 a) b)) 0)
(+ (* 2 a) b)
(+ (* (+ a b) a) (* b (+ a b)))
(* b (+ a b))

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

simplify267.0ms (3.5%)

Memory

0.9MiB live, 510.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 554×	`accelerator-lowering-fma.f32`
8 554×	`accelerator-lowering-fma.f64`
3 162×	`-lowering-.f32`
3 162×	`-lowering-.f64`
1 818×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1344
1	332	1296
2	902	1296
3	2512	1200
4	5120	1200
0	8034	1068

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval349.0ms (4.6%)

Memory: 3.2MiB live, 280.5MiB allocated
Compiler: Compiled 50 420 to 2 861 computations (94.3% saved)

prune215.0ms (2.8%)

Memory

-7.2MiB live, 459.5MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 491	3	1 494
Fresh	0	0	0
Picked	4	1	5
Done	0	1	1
Total	1 495	5	1 500

Accuracy

100.0%

Counts

1 500 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 b b (*.f64 (fma.f64 b #s(literal 2 binary64) a) a))
▶	99.4%	(*.f64 (fma.f64 a #s(literal 2 binary64) b) b)
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	98.0%	(*.f64 (+.f64 a b) b)
▶	97.9%	(*.f64 b b)

Compiler

Compiled 40 to 22 computations (45% saved)

simplify6.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

64×	`accelerator-lowering-fma.f32`
64×	`accelerator-lowering-fma.f64`
36×	`-lowering-.f32`
36×	`-lowering-.f64`
32×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	18	45
2	31	45
3	52	45
4	54	45
0	54	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

-8.6MiB live, 68.0MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

21.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

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

ival-mult: 9.0ms (72.9% of total)

ival-add: 3.0ms (24.3% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite661.0ms (8.7%)

Memory

0.7MiB live, 709.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 414×	`accelerator-lowering-fma.f32`
8 414×	`accelerator-lowering-fma.f64`
4 968×	`-lowering-.f32`
4 968×	`-lowering-.f64`
2 310×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	55	38
2	474	38
3	5468	38
0	8529	32

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 333

Calls

Call 1

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

Outputs
(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)))
(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)))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 1 binary64) (*.f64 (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 (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 a #s(literal 2 binary64))))
(+.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (*.f64 b b))
(fma.f64 b b (.f64 b (.f64 a #s(literal 2 binary64))))
(fma.f64 b (.f64 a #s(literal 2 binary64)) (.f64 b b))
(fma.f64 a (.f64 b #s(literal 2 binary64)) (.f64 b b))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 b b))
(fma.f64 (.f64 a #s(literal 2 binary64)) b (.f64 b b))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 b (.f64 a #s(literal 2 binary64))))
(/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a #s(literal 2 binary64)) b) (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (-.f64 (.f64 a #s(literal 2 binary64)) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))) (.f64 a (.f64 a #s(literal 4 binary64)))) (.f64 b (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b))))))
(/.f64 (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (-.f64 (.f64 a #s(literal 2 binary64)) b)) (-.f64 (.f64 a #s(literal 2 binary64)) b))
(/.f64 (.f64 b (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) (fma.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))) (.f64 a (.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (-.f64 (.f64 a #s(literal 2 binary64)) b))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 (.f64 b (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b))))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))) (.f64 a (.f64 a #s(literal 4 binary64))))))
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(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 512 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64))) (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 a (.f64 a a))) (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (*.f64 b b) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a a)) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64))) (-.f64 (*.f64 b #s(literal 2 binary64)) a)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a a)) (-.f64 (.f64 b #s(literal 2 binary64)) a)))
(/.f64 (.f64 (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))) #s(literal 1 binary64)) (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (*.f64 b b) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a))))
(/.f64 (neg.f64 (fma.f64 a a (.f64 #s(literal -4 binary64) (.f64 b b)))) (neg.f64 (-.f64 a (*.f64 b #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a))) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a))) (.f64 (.f64 (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))) (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a)))) (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))))) (fma.f64 (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (fma.f64 (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))) (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))) (.f64 (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 a (/.f64 a (-.f64 (*.f64 b #s(literal 2 binary64)) a)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a))) (.f64 (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))) (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))))) (fma.f64 (.f64 b b) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a)))))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))))) (fma.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))) #s(literal 64 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 a (.f64 a a))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a))) (fma.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a a)) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (*.f64 a a)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 2 binary64) a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 2 binary64) a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 a (.f64 b #s(literal 2 binary64))) (fma.f64 a a (.f64 #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 (-.f64 (.f64 b #s(literal 2 binary64)) a) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a))))
(.f64 (fma.f64 b #s(literal 2 binary64) a) (/.f64 (-.f64 (.f64 b #s(literal 2 binary64)) a) (-.f64 (*.f64 b #s(literal 2 binary64)) a)))
(.f64 (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(.f64 (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (fma.f64 b #s(literal 2 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))))))
(.f64 (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))) (/.f64 (fma.f64 b #s(literal 2 binary64) a) (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (*.f64 b b) #s(literal 4 binary64)))))
(.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) a)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) a))))
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64)))) (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (*.f64 a a)))
(.f64 (fma.f64 a a (.f64 #s(literal -4 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 a (.f64 b #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (*.f64 a a))) (fma.f64 b #s(literal 2 binary64) a))
(.f64 (/.f64 (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (-.f64 a (.f64 b #s(literal 2 binary64))) (-.f64 a (.f64 b #s(literal 2 binary64)))) (-.f64 a (.f64 b #s(literal 2 binary64)))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64)))) (fma.f64 (.f64 a (-.f64 a (.f64 b #s(literal 2 binary64)))) (-.f64 (.f64 a (-.f64 a (.f64 b #s(literal 2 binary64)))) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))) (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 a (.f64 (-.f64 a (.f64 b #s(literal 2 binary64))) (.f64 a (-.f64 a (.f64 b #s(literal 2 binary64)))))))) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 b #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a)) (-.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 a (.f64 a a)))) (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) (.f64 (*.f64 b b) #s(literal 4 binary64))))

simplify290.0ms (3.8%)

Memory

30.1MiB live, 456.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 438×	`accelerator-lowering-fma.f32`
8 438×	`accelerator-lowering-fma.f64`
2 840×	`-lowering-.f32`
2 840×	`-lowering-.f64`
1 688×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	774
1	269	732
2	747	732
3	2208	732
4	4640	732
5	7609	732
0	8071	630

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

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

eval144.0ms (1.9%)

Memory: -21.5MiB live, 150.3MiB allocated
Compiler: Compiled 12 470 to 1 023 computations (91.8% saved)

prune94.0ms (1.2%)

Memory

-17.7MiB live, 99.4MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	465	0	465
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	465	5	470

Accuracy

100.0%

Counts

470 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 b b (*.f64 (fma.f64 b #s(literal 2 binary64) a) a))
✓	99.4%	(*.f64 (fma.f64 a #s(literal 2 binary64) b) b)
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	98.0%	(*.f64 (+.f64 a b) b)
✓	97.9%	(*.f64 b b)

Compiler

Compiled 103 to 42 computations (59.2% saved)

regimes13.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(fma.f64 b b #s(literal 0 binary64))
(*.f64 (+.f64 a b) b)
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (fma.f64 a #s(literal 2 binary64) b) b)
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))
(fma.f64 b b (*.f64 (fma.f64 b #s(literal 2 binary64) a) a))
(fma.f64 (+.f64 a b) a (*.f64 b (+.f64 a b)))
(fma.f64 b b (fma.f64 a (fma.f64 b #s(literal 2 binary64) a) #s(literal 0 binary64)))

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

Calls

4 calls:

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

regimes32.0ms (0.4%)

Memory

-19.2MiB live, 19.5MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(fma.f64 b b #s(literal 0 binary64))
(*.f64 (+.f64 a b) b)
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (fma.f64 a #s(literal 2 binary64) b) b)
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) #s(literal 0 binary64))

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

Calls

4 calls:

24.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	(+.f64 a b)
2.0ms	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)

regimes7.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`a`
98.0%	1	`b`
98.0%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.0%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes6.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 b b)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`a`
97.9%	1	`b`
97.9%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
97.9%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

simplify25.0ms (0.3%)

Memory

-29.3MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	13	24

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness789.0ms (10.4%)

Memory

20.5MiB live, 374.1MiB allocated

Rules

7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
6 896×	`accelerator-lowering-fma.f32`
6 896×	`accelerator-lowering-fma.f64`
4 808×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	62
1	135	58
2	1561	56
0	8706	50
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 55 to 27 computations (50.9% saved)

preprocess49.0ms (0.7%)

Memory: 9.5MiB live, 127.8MiB allocated
Compiler: Compiled 192 to 92 computations (52.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze19.0ms (0.3%)

sample2.4s (32.2%)

preprocess84.0ms (1.1%)

explain50.0ms (0.7%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify7.0ms (0.1%)

localize15.0ms (0.2%)

series2.0ms (0%)

rewrite554.0ms (7.3%)

simplify214.0ms (2.8%)

eval182.0ms (2.4%)

prune186.0ms (2.5%)

simplify10.0ms (0.1%)

localize56.0ms (0.7%)

series12.0ms (0.2%)

rewrite766.0ms (10.1%)

simplify267.0ms (3.5%)

eval349.0ms (4.6%)

prune215.0ms (2.8%)

simplify6.0ms (0.1%)

localize32.0ms (0.4%)

series3.0ms (0%)

rewrite661.0ms (8.7%)

simplify290.0ms (3.8%)

eval144.0ms (1.9%)

prune94.0ms (1.2%)

regimes13.0ms (0.2%)

regimes32.0ms (0.4%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify25.0ms (0.3%)

soundness789.0ms (10.4%)

preprocess49.0ms (0.7%)

end0.0ms (0%)

Profiling