Metrics for Difference of squares

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample739.0ms (20.8%)

Memory

-81.7MiB live, 664.4MiB allocated

Samples

553.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 386.0ms

ival-mult: 344.0ms (89.2% of total)

ival-sub: 33.0ms (8.6% of total)

ival-true: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain54.0ms (1.5%)

Memory

-12.6MiB live, 70.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
10	-	10	(5.781913726577093e+220 1.925842513945535e+190)	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b b)`

Confusion

	Predicted +	Predicted -
+	0	10
-	0	246

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	10
-	0	0	246

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

24.0ms

512×

valid

Compiler

Compiled 60 to 24 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (76.8% of total)

ival-sub: 2.0ms (15.4% of total)

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

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

preprocess491.0ms (13.8%)

Memory

-6.5MiB live, 183.3MiB allocated

Algorithm

1×	egg-herbie

Rules

24 584×	`lower-fma.f64`
24 584×	`lower-fma.f32`
5 200×	`lower-+.f64`
5 200×	`lower-+.f32`
3 934×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	51	35
2	144	35
3	366	35
4	892	35
5	1223	35
6	1754	35
7	2340	35
8	4152	35
9	4727	35
10	4840	35
11	4954	35
12	5034	35
13	5034	35
14	6415	35
15	7393	35
16	7877	35
17	7893	35
18	7893	35
0	5	7
0	8	7
1	16	7
2	27	7
3	53	7
4	114	7
5	315	7
6	567	7
7	1238	7
8	2495	7
9	4124	7
10	4997	7
11	5366	7
12	5596	7
13	5710	7
14	5710	7
15	6670	7
16	6830	7
17	7150	7
18	7150	7
19	7550	7
20	7710	7
21	7790	7
22	7790	7
23	7790	7
0	10268	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))

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

Symmetry

(abs b)

(abs a)

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify333.0ms (9.4%)

Memory

23.0MiB live, 213.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b b)
cost-diff	0	(*.f64 a a)
cost-diff	128	(-.f64 (.f64 a a) (.f64 b b))

Rules

24 584×	`lower-fma.f64`
24 584×	`lower-fma.f32`
5 200×	`lower-+.f64`
5 200×	`lower-+.f32`
3 934×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	16	15
2	27	15
3	53	15
4	114	15
5	315	15
6	567	15
7	1238	15
8	2495	15
9	4124	15
10	4997	15
11	5366	15
12	5596	15
13	5710	15
14	5710	15
15	6670	15
16	6830	15
17	7150	15
18	7150	15
19	7550	15
20	7710	15
21	7790	15
22	7790	15
23	7790	15
0	10268	15

Stop Event

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

Calls

Call 1

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

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

localize14.0ms (0.4%)

Memory

-15.0MiB live, 24.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b b)
accuracy	0	(*.f64 a a)
accuracy	2.257802179151029	(-.f64 (.f64 a a) (.f64 b b))

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 3.0ms (68.6% of total)

ival-sub: 1.0ms (22.9% of total)

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

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

series4.0ms (0.1%)

Memory

7.0MiB live, 7.1MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())
#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())
#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 (*.f64 a a) (*.f64 b b)) (patch (-.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())

#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())

#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())

Outputs
#s(alt (pow a 2) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor -inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor -inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor -inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor -inf b) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (- (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify166.0ms (4.7%)

Memory

12.2MiB live, 143.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 540×	`lower-fma.f64`
12 540×	`lower-fma.f32`
3 658×	`lower-*.f64`
3 658×	`lower-*.f32`
1 136×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	39	219
2	113	219
3	469	219
4	1679	219
5	2846	219
6	5006	219
0	8448	219

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

Outputs
(pow a 2)
(*.f64 a a)
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (-.f64 a b) (+.f64 b a))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (-.f64 a b) (+.f64 b a))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (-.f64 a b) (+.f64 b a))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (-.f64 a b) (+.f64 b a))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (-.f64 a b) (+.f64 b a))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (-.f64 a b) (+.f64 b a))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(- (pow a 2) (pow b 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(- (pow a 2) (pow b 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(- (pow a 2) (pow b 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (-.f64 a b) (+.f64 b a))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (-.f64 a b) (+.f64 b a))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (-.f64 a b) (+.f64 b a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (-.f64 a b) (+.f64 b a))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (-.f64 a b) (+.f64 b a))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (-.f64 a b) (+.f64 b a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)

rewrite199.0ms (5.6%)

Memory

-0.6MiB live, 150.2MiB allocated

Rules

8 026×	`lower-fma.f64`
8 026×	`lower-fma.f32`
4 450×	`lower-/.f64`
4 450×	`lower-/.f32`
3 184×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	32	13
2	216	13
3	1967	13
0	8778	13

Stop Event

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

Counts

3 → 252

Calls

Call 1

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

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

eval33.0ms (0.9%)

Memory: 13.7MiB live, 50.6MiB allocated
Compiler: Compiled 16 205 to 749 computations (95.4% saved)

prune62.0ms (1.7%)

Memory

-4.3MiB live, 78.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

100.0%

Counts

301 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 a a (*.f64 (neg.f64 b) b))
▶	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))
▶	53.2%	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
▶	53.2%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify264.0ms (7.4%)

Memory

11.9MiB live, 199.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(*.f64 (neg.f64 b) b)
cost-diff	128	(fma.f64 a a (*.f64 (neg.f64 b) b))
cost-diff	0	(+.f64 b a)
cost-diff	0	(-.f64 a b)
cost-diff	0	(*.f64 (-.f64 a b) (+.f64 b a))
cost-diff	0	(neg.f64 b)
cost-diff	0	(*.f64 (neg.f64 b) b)
cost-diff	0	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
cost-diff	0	(*.f64 a a)
cost-diff	0	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Rules

31 184×	`lower-fma.f32`
31 182×	`lower-fma.f64`
7 084×	`lower-+.f32`
7 082×	`lower-+.f64`
3 784×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
0	21	64
1	39	64
2	63	64
3	145	64
4	287	64
5	590	64
6	1503	64
7	2914	64
8	4034	64
9	4596	64
10	4835	64
11	4965	64
12	4987	64
13	4987	64
14	4987	64
0	8721	64

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
a
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 a b)
a
b
(+.f64 b a)
(fma.f64 a a (*.f64 (neg.f64 b) b))
a
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b

Outputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
a
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (+.f64 b a) (-.f64 a b))
(-.f64 a b)
a
b
(+.f64 b a)
(fma.f64 a a (*.f64 (neg.f64 b) b))
(*.f64 (+.f64 b a) (-.f64 a b))
a
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b

localize30.0ms (0.8%)

Memory

4.9MiB live, 43.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 b) b)
accuracy	0	(neg.f64 b)
accuracy	1.257798738027801	(fma.f64 a a (*.f64 (neg.f64 b) b))
accuracy	0	(-.f64 a b)
accuracy	0	(+.f64 b a)
accuracy	0.00390625	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0	(*.f64 (neg.f64 b) b)
accuracy	0	(neg.f64 b)
accuracy	29.947994982587925	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
accuracy	0	(*.f64 a a)
accuracy	29.95339731333828	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Samples

20.0ms

256×

valid

Compiler

Compiled 58 to 13 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (52.4% of total)

ival-sub: 2.0ms (17.5% of total)

ival-add: 2.0ms (17.5% of total)

ival-neg: 1.0ms (8.7% of total)

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

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

series57.0ms (1.6%)

Memory

-41.7MiB live, 46.7MiB allocated

Counts

9 → 180

Calls

Call 1

Inputs
#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())
#s(alt #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (patch #s(approx (- ( a a) (* b b)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 b) b) (patch (.f64 (neg.f64 b) b) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())
#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())
#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())
#s(alt (fma.f64 a a (.f64 (neg.f64 b) b)) (patch (fma.f64 a a (.f64 (neg.f64 b) b)) #<representation binary64>) () ())

Outputs
#s(alt (pow a 2) (taylor 0 b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (patch #s(approx (- ( a a) (* b b)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (patch #s(approx (- ( a a) (* b b)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (patch #s(approx (- ( a a) (* b b)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (patch #s(approx (- ( a a) (* b b)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor 0 b) (#s(alt (.f64 (neg.f64 b) b) (patch (.f64 (neg.f64 b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor 0 b) (#s(alt (.f64 (neg.f64 b) b) (patch (.f64 (neg.f64 b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor 0 b) (#s(alt (.f64 (neg.f64 b) b) (patch (.f64 (neg.f64 b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor 0 b) (#s(alt (.f64 (neg.f64 b) b) (patch (.f64 (neg.f64 b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor 0 b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor 0 b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor 0 b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor 0 b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ a (* -1 a))) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (fma.f64 a a (.f64 (neg.f64 b) b)) (patch (fma.f64 a a (.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 a a (.f64 (neg.f64 b) b)) (patch (fma.f64 a a (.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 a a (.f64 (neg.f64 b) b)) (patch (fma.f64 a a (.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow b 2)) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 a a (.f64 (neg.f64 b) b)) (patch (fma.f64 a a (.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 2)) (taylor inf b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) (taylor inf b) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (patch #s(approx (- ( a a) (* b b)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 a a (.f64 (neg.f64 b) b)) (patch (fma.f64 a a (.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 a a (.f64 (neg.f64 b) b)) (patch (fma.f64 a a (.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 a a)) (patch #s(approx (- ( a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (patch #s(approx (- ( a a) (* b b)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (patch #s(approx (- ( a a) (* b b)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (patch #s(approx (- ( a a) (* b b)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (patch #s(approx (- ( a a) (* b b)) (*.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))) (taylor -inf a) (#s(alt (.f64 (-.f64 a b) (+.f64 b a)) (patch (.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 a a (.f64 (neg.f64 b) b)) (patch (fma.f64 a a (.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 a a (.f64 (neg.f64 b) b)) (patch (fma.f64 a a (.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 a a (.f64 (neg.f64 b) b)) (patch (fma.f64 a a (.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 a a (.f64 (neg.f64 b) b)) (patch (fma.f64 a a (.f64 (neg.f64 b) b)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	b	@	0	((- (* a a) (* b b)) (* a a) (- (* a a) (* b b)) (* (neg b) b) (neg b) (* (- a b) (+ b a)) (- a b) (+ b a) (+ (* a a) (* (neg b) b)))
3.0ms	a	@	-inf	((- (* a a) (* b b)) (* a a) (- (* a a) (* b b)) (* (neg b) b) (neg b) (* (- a b) (+ b a)) (- a b) (+ b a) (+ (* a a) (* (neg b) b)))
1.0ms	b	@	inf	((- (* a a) (* b b)) (* a a) (- (* a a) (* b b)) (* (neg b) b) (neg b) (* (- a b) (+ b a)) (- a b) (+ b a) (+ (* a a) (* (neg b) b)))
1.0ms	b	@	-inf	((- (* a a) (* b b)) (* a a) (- (* a a) (* b b)) (* (neg b) b) (neg b) (* (- a b) (+ b a)) (- a b) (+ b a) (+ (* a a) (* (neg b) b)))
1.0ms	a	@	inf	((- (* a a) (* b b)) (* a a) (- (* a a) (* b b)) (* (neg b) b) (neg b) (* (- a b) (+ b a)) (- a b) (+ b a) (+ (* a a) (* (neg b) b)))

simplify141.0ms (4%)

Memory

13.7MiB live, 201.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 540×	`lower-fma.f64`
15 540×	`lower-fma.f32`
2 570×	`lower--.f64`
2 570×	`lower--.f32`
2 510×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	798
1	281	798
2	829	798
3	3560	798
0	8744	798

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 171

Calls

Call 1

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

Outputs
(pow a 2)
(*.f64 a a)
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(pow a 2)
(*.f64 a a)
(+ (* b (+ a (* -1 a))) (pow a 2))
(*.f64 a a)
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(pow a 2)
(*.f64 a a)
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 b)
(neg.f64 b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
b
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(- (pow a 2) (pow b 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(- (pow a 2) (pow b 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(- (pow a 2) (pow b 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(- (pow a 2) (pow b 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(- (pow a 2) (pow b 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(- (pow a 2) (pow b 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(*.f64 (+.f64 b a) (-.f64 a b))
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
a
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(*.f64 (+.f64 b a) (-.f64 a b))
a
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
a
(* -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)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (+.f64 b a) (-.f64 a b))

rewrite162.0ms (4.6%)

Memory

22.7MiB live, 217.4MiB allocated

Rules

7 940×	`lower-fma.f32`
7 938×	`lower-fma.f64`
4 276×	`lower-*.f32`
4 270×	`lower-*.f64`
3 070×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
0	21	52
1	82	52
2	634	52
0	8311	48

Stop Event

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

Counts

9 → 927

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 a b)
(+.f64 b a)
(fma.f64 a a (*.f64 (neg.f64 b) b))

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

eval153.0ms (4.3%)

Memory: -11.3MiB live, 198.8MiB allocated
Compiler: Compiled 31 199 to 1 609 computations (94.8% saved)

prune142.0ms (4%)

Memory

6.2MiB live, 165.2MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	1 157	0	1 157
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	1 157	4	1 161

Accuracy

100.0%

Counts

1 161 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(fma.f64 a a (*.f64 (neg.f64 b) b))
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))
✓	53.2%	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
✓	53.2%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 63 to 28 computations (55.6% saved)

regimes11.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 (neg.f64 b) b))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 25 to 15 computations (40% saved)

regimes30.0ms (0.8%)

Memory

-28.6MiB live, 10.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))

Outputs
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
#s(approx (- (* a a) (* b b)) (*.f64 a a))

Calls

5 calls:

24.0ms	(*.f64 b b)
2.0ms	b
2.0ms	a
1.0ms	(-.f64 (.f64 a a) (.f64 b b))
1.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
76.9%	2	`a`
81.1%	2	`b`
96.6%	2	`(-.f64 (.f64 a a) (.f64 b b))`
76.9%	2	`(*.f64 a a)`
81.1%	2	`(*.f64 b b)`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes6.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))

Outputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
53.2%	1	`a`
53.2%	1	`(*.f64 a a)`
53.2%	1	`b`
53.2%	1	`(*.f64 b b)`
53.2%	1	`(-.f64 (.f64 a a) (.f64 b b))`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.194285e-317	0.0

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify6.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`*-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	29	51
2	35	51
3	38	51
4	39	51

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) #s(approx (- (* a a) (* b b)) (*.f64 a a)))

#s(approx (- (* a a) (* b b)) (*.f64 a a))

Outputs
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (+.f64 b a) (-.f64 a b))
(if (<=.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) #s(approx (- ( a a) (* b b)) (*.f64 a a)))
#s(approx (- (* a a) (* b b)) (*.f64 a a))

soundness392.0ms (11%)

Memory

-10.9MiB live, 179.4MiB allocated

Rules

12 540×	`lower-fma.f64`
12 540×	`lower-fma.f32`
8 026×	`lower-fma.f64`
8 026×	`lower-fma.f32`
4 450×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	39	219
2	113	219
3	469	219
4	1679	219
5	2846	219
6	5006	219
0	8448	219
0	5	13
0	8	13
1	32	13
2	216	13
3	1967	13
0	8778	13

Stop Event

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

Compiler

Compiled 64 to 31 computations (51.6% saved)

preprocess69.0ms (1.9%)

Memory

21.7MiB live, 103.9MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 172 to 86 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample739.0ms (20.8%)

explain54.0ms (1.5%)

preprocess491.0ms (13.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify333.0ms (9.4%)

localize14.0ms (0.4%)

series4.0ms (0.1%)

simplify166.0ms (4.7%)

rewrite199.0ms (5.6%)

eval33.0ms (0.9%)

prune62.0ms (1.7%)

simplify264.0ms (7.4%)

localize30.0ms (0.8%)

series57.0ms (1.6%)

simplify141.0ms (4%)

rewrite162.0ms (4.6%)

eval153.0ms (4.3%)

prune142.0ms (4%)

regimes11.0ms (0.3%)

regimes30.0ms (0.8%)

regimes6.0ms (0.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

soundness392.0ms (11%)

preprocess69.0ms (1.9%)

end0.0ms (0%)

Profiling