Metrics for Difference of squares

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample9.1s (69.6%)

Memory

-15.7MiB live, 1 023.6MiB allocated

Samples

8.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-mult: 117.0ms (50.9% of total)

ival-sub: 103.0ms (44.8% of total)

ival-true: 6.0ms (2.6% of total)

ival-assert: 4.0ms (1.7% of total)

Bogosity

explain64.0ms (0.5%)

Memory

6.6MiB live, 165.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 a a) (.f64 b b))`	nan-rescue	11	0
↳	`(*.f64 a a)`	overflow	58
↳	`(*.f64 b b)`	overflow	59

Confusion

	Predicted +	Predicted -
+	11	0
-	0	245

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	11	0	0
-	0	0	245

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	245
1	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (68.9% of total)

ival-sub: 2.0ms (19.7% of total)

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

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

preprocess483.0ms (3.7%)

Memory

-14.2MiB live, 387.8MiB allocated

Algorithm

1×	egg-herbie

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))
(fma.f64 (neg.f64 b) b (*.f64 a a))

Symmetry

(abs b)

(abs a)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify496.0ms (3.8%)

Memory

31.3MiB live, 306.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

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))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(*.f64 a a)
a
(*.f64 b b)
b

localize16.0ms (0.1%)

Memory

-0.4MiB live, 38.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b b)
accuracy	0	(*.f64 a a)
accuracy	2.597639736641647	(-.f64 (.f64 a a) (.f64 b b))

Samples

11.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 3.0ms (54% of total)

ival-sub: 2.0ms (36% of total)

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

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

series4.0ms (0%)

Memory

-31.5MiB live, 7.9MiB allocated

Counts

3 → 7

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	((- (* a a) (* b b)) (* a a) (* b b))
1.0ms	a	@	inf	((- (* a a) (* b b)) (* a a) (* b b))
1.0ms	a	@	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))

simplify112.0ms (0.9%)

Memory

34.3MiB live, 194.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	39	38
2	113	38
3	469	38
4	1689	38
5	2839	38
6	4994	38
0	8397	38

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite213.0ms (1.6%)

Memory

-34.3MiB live, 284.8MiB allocated

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 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 b b (.f64 a a)) (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 18 binary64)) (pow.f64 b #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (.f64 b a) #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 (-.f64 a b) (+.f64 b a)))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 a b) (+.f64 b a)))
(.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (neg.f64 (fma.f64 b b (.f64 a a))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.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)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (.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 (pow.f64 a #s(literal 12 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))) (.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.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 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.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 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))))
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(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))) (/.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 18 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (.f64 b a) #s(literal 6 binary64)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))) (/.f64 (/.f64 (pow.f64 b #s(literal 18 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (.f64 b a) #s(literal 6 binary64)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 18 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (.f64 b a) #s(literal 6 binary64)))) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 b #s(literal 18 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (.f64 b a) #s(literal 6 binary64)))) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(-.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 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (.f64 a a) (.f64 b b))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64))) #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 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))))
(+.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)))

eval29.0ms (0.2%)

Memory: 12.1MiB live, 58.4MiB allocated
Compiler: Compiled 8 269 to 758 computations (90.8% saved)

prune4.0ms (0%)

Memory

14.9MiB live, 14.9MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	254	2	256
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	2	257

Accuracy

100.0%

Counts

257 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))
▶	52.8%	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify382.0ms (2.9%)

Memory

-7.8MiB live, 351.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	16	34
1	34	34
2	59	34
3	139	34
4	281	34
5	584	34
6	1473	34
7	2870	34
8	3966	34
9	4533	34
10	4772	34
11	4902	34
12	4924	34
13	4924	34
14	4924	34
0	8658	34

Stop Event

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

Calls

Call 1

Inputs
#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)

Outputs
#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)

localize27.0ms (0.2%)

Memory

8.2MiB live, 46.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 a b)
accuracy	0	(+.f64 b a)
accuracy	0	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0	(*.f64 (neg.f64 b) b)
accuracy	0	(neg.f64 b)
accuracy	30.198142640281322	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))

Samples

20.0ms

256×

valid

Compiler

Compiled 65 to 23 computations (64.6% saved)

Precisions

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

ival-mult: 7.0ms (60.3% of total)

ival-sub: 2.0ms (17.2% of total)

ival-add: 1.0ms (8.6% of total)

ival-neg: 1.0ms (8.6% of total)

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

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

series7.0ms (0.1%)

Memory

-27.7MiB live, 10.2MiB allocated

Counts

6 → 31

Calls

Call 1

Inputs
#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)

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

Calls

6 calls:

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

simplify122.0ms (0.9%)

Memory

32.7MiB live, 186.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	132
1	281	132
2	837	132
3	3582	132
0	8444	132

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 29

Calls

Call 1

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

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

rewrite167.0ms (1.3%)

Memory

-1.0MiB live, 122.8MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	16	31
1	67	31
2	504	31
3	6749	24
0	9278	24

Stop Event

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

Counts

6 → 723

Calls

Call 1

Inputs
#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)

Outputs
#s(approx (- (* a a) (* b b)) (*.f64 b b))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(.f64 #s(literal 1 binary64) (.f64 b b))
(.f64 #s(literal -1 binary64) (.f64 b b))
(.f64 (.f64 b b) #s(literal 1 binary64))
(.f64 (.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 b b) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 b b) #s(literal 0 binary64)))))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 b b))
(/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b)))))
(/.f64 (pow.f64 b #s(literal 3 binary64)) b)
(neg.f64 (*.f64 b b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 b b) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 b b #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(exp.f64 (.f64 (.f64 (log.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.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)))
(+.f64 #s(literal 0 binary64) (*.f64 b b))
(+.f64 (*.f64 b b) #s(literal 0 binary64))
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) b)
(.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 b b) #s(literal -1 binary64)))
(.f64 (.f64 b b) (pow.f64 b #s(literal -1 binary64)))
(*.f64 b (/.f64 b b))
(*.f64 b #s(literal -1 binary64))
(pow.f64 (pow.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 b b) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 b (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 b #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (pow.f64 b #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64))))
(/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b b))
(/.f64 (*.f64 b b) b)
(neg.f64 b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) (pow.f64 b #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 b (/.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)
(exp.f64 (.f64 (.f64 (log.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) b)
(+.f64 b #s(literal 0 binary64))
b
(.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) #s(literal 2 binary64)) #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (.f64 (.f64 (-.f64 a b) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 18 binary64)) (pow.f64 b #s(literal 18 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 a b)) (+.f64 (pow.f64 a #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))))))
(/.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) (-.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (*.f64 b a) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 a b) b) #s(literal 3 binary64))) (.f64 (-.f64 a b) (-.f64 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) b) a))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (.f64 (-.f64 b a) (pow.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (.f64 (-.f64 a b) (neg.f64 (pow.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (neg.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 a b))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 (-.f64 b a) a)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b)))
(/.f64 (.f64 (neg.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (-.f64 a b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (-.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (neg.f64 (*.f64 (-.f64 a b) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 a b) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 b a))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) b (*.f64 a a)))
(/.f64 (-.f64 a b) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 a b))
(neg.f64 (-.f64 b a))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) #s(literal 2 binary64))) (fma.f64 (-.f64 a b) b (.f64 a a)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (*.f64 (-.f64 b a) a)))))
(fma.f64 (/.f64 (.f64 a a) #s(literal 1 binary64)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (neg.f64 (.f64 b (/.f64 b (-.f64 b a)))))
(fma.f64 (/.f64 (.f64 a a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 a b) (neg.f64 (.f64 b (/.f64 b (-.f64 b a)))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 a b) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 a b) b) (-.f64 (.f64 (-.f64 a b) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (*.f64 (-.f64 b a) a)))))
(fma.f64 (/.f64 (.f64 b b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (.f64 (-.f64 b a) a)) (neg.f64 (*.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 (/.f64 (.f64 b b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) b (.f64 a a)) (neg.f64 (*.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 (/.f64 (.f64 b b) #s(literal 1 binary64)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (neg.f64 (.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 (/.f64 (.f64 b b) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 a b) (neg.f64 (.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 (/.f64 (.f64 a a) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (.f64 (-.f64 b a) a)) (neg.f64 (*.f64 b (/.f64 b (-.f64 b a)))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 (neg.f64 a)))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) a)
(fma.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) b))
(fma.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)) b)
(fma.f64 (/.f64 b (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 b (pow.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) #s(literal -1 binary64))) (neg.f64 (.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 (/.f64 a (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 a (pow.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) #s(literal -1 binary64))) (neg.f64 (.f64 b (/.f64 b (-.f64 b a)))))
(fma.f64 (/.f64 (.f64 b b) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) b (.f64 a a)) (neg.f64 (*.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 (/.f64 (.f64 a a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) b (.f64 a a)) (neg.f64 (*.f64 b (/.f64 b (-.f64 b a)))))
(fma.f64 (/.f64 a (neg.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 a (pow.f64 (-.f64 b a) #s(literal -1 binary64))) (neg.f64 (*.f64 b (/.f64 b (-.f64 b a)))))
(fma.f64 (/.f64 b (neg.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 b (pow.f64 (-.f64 b a) #s(literal -1 binary64))) (neg.f64 (*.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 (/.f64 (.f64 b b) (neg.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))) (-.f64 b a) (neg.f64 (.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 (/.f64 (.f64 b b) (neg.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))) (-.f64 a b) (neg.f64 (.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 (/.f64 (.f64 a a) (neg.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))) (-.f64 b a) (neg.f64 (.f64 b (/.f64 b (-.f64 b a)))))
(fma.f64 (/.f64 (-.f64 a b) (-.f64 b a)) b (*.f64 (/.f64 (-.f64 a b) (-.f64 b a)) (neg.f64 a)))
(fma.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (-.f64 a b) a) (.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)))
(fma.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 b b) (.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (-.f64 a b) a)))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (fma.f64 (-.f64 a b) b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (.f64 (-.f64 b a) a)))))
(fma.f64 (.f64 (-.f64 a b) a) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (*.f64 b b) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 a)))
(fma.f64 #s(literal -1 binary64) b a)
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (.f64 (-.f64 b a) a)))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal -1 binary64)) (neg.f64 (neg.f64 a)))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal -1 binary64)) a)
(fma.f64 (*.f64 b b) (pow.f64 b #s(literal -1 binary64)) (neg.f64 (neg.f64 a)))
(fma.f64 (*.f64 b b) (pow.f64 b #s(literal -1 binary64)) a)
(fma.f64 (.f64 b b) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (*.f64 (-.f64 a b) a) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(fma.f64 (.f64 b b) (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (neg.f64 (.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 (.f64 b b) (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (neg.f64 (.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 b (/.f64 b (-.f64 b a)) (neg.f64 (*.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 b (/.f64 b b) (neg.f64 (neg.f64 a)))
(fma.f64 b (/.f64 b b) a)
(fma.f64 b (/.f64 b (-.f64 a b)) (neg.f64 (*.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 b (/.f64 (-.f64 a b) (-.f64 b a)) (*.f64 (neg.f64 a) (/.f64 (-.f64 a b) (-.f64 b a))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 a)))
(fma.f64 b #s(literal -1 binary64) a)
(fma.f64 (.f64 a a) (/.f64 a (fma.f64 (-.f64 a b) b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (*.f64 (-.f64 b a) a)))))
(fma.f64 (.f64 a a) (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (neg.f64 (.f64 b (/.f64 b (-.f64 b a)))))
(fma.f64 a (/.f64 (.f64 a a) (fma.f64 (-.f64 a b) b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (*.f64 (-.f64 b a) a)))))
(fma.f64 a (/.f64 a (-.f64 a b)) (neg.f64 (*.f64 b (/.f64 b (-.f64 b a)))))
(-.f64 (-.f64 a #s(literal 0 binary64)) b)
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (-.f64 a b) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (-.f64 a b) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 a b))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 a b))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 a b)) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 a b)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) #s(literal 2 binary64))) (-.f64 a b)) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) #s(literal 2 binary64))) (-.f64 a b)))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (.f64 (-.f64 b a) a))))
(-.f64 (.f64 b (/.f64 b (-.f64 b a))) (.f64 a (/.f64 a (-.f64 b a))))
(-.f64 (.f64 a (/.f64 a (-.f64 a b))) (.f64 b (/.f64 b (-.f64 b a))))
(-.f64 #s(literal 0 binary64) (-.f64 b a))
(-.f64 a b)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 b (/.f64 (-.f64 a b) (-.f64 b a))) (.f64 (neg.f64 a) (/.f64 (-.f64 a b) (-.f64 b a))))
(+.f64 (.f64 (.f64 (-.f64 a b) a) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (.f64 (.f64 b b) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 b b) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 a b) a) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 (-.f64 a b) (-.f64 b a)) b) (.f64 (/.f64 (-.f64 a b) (-.f64 b a)) (neg.f64 a)))
(+.f64 (.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (-.f64 a b) a)) (.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 b b)))
(+.f64 (.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 b b)) (.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (-.f64 a b) a)))
(+.f64 (-.f64 a #s(literal 0 binary64)) b)
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 a b) b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (.f64 (-.f64 b a) a)))))
(+.f64 (.f64 b (/.f64 b (-.f64 b a))) (neg.f64 (.f64 a (/.f64 a (-.f64 b a)))))
(+.f64 (.f64 a (/.f64 a (-.f64 a b))) (neg.f64 (.f64 b (/.f64 b (-.f64 b a)))))
(+.f64 #s(literal 0 binary64) (-.f64 a b))
(+.f64 b (neg.f64 (neg.f64 a)))
(+.f64 b a)
(+.f64 a (*.f64 #s(literal 1 binary64) b))
(+.f64 a b)

eval141.0ms (1.1%)

Memory: 0.6MiB live, 76.2MiB allocated
Compiler: Compiled 12 091 to 1 341 computations (88.9% saved)

prune19.0ms (0.1%)

Memory

-14.5MiB live, 23.8MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	532	1	533
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	532	3	535

Accuracy

100.0%

Counts

535 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))
✓	52.8%	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
▶	53.8%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify385.0ms (2.9%)

Memory

24.8MiB live, 147.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 a a)
cost-diff	0	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	8	15
1	16	15
2	27	15
3	53	15
4	115	15
5	318	15
6	580	15
7	1257	15
8	2531	15
9	4170	15
10	5037	15
11	5406	15
12	5636	15
13	5750	15
14	5750	15
15	6710	15
16	6870	15
17	7190	15
18	7190	15
19	7590	15
20	7750	15
21	7830	15
22	7830	15
23	7830	15
0	10397	15

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

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

localize20.0ms (0.1%)

Memory

-25.7MiB live, 12.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 a a)
accuracy	29.567212051786665	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Samples

10.0ms

256×

valid

Compiler

Compiled 28 to 14 computations (50% saved)

Precisions

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

ival-mult: 3.0ms (63% of total)

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

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

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

series2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

2 → 6

Calls

Call 1

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

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

Calls

6 calls:

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

simplify123.0ms (0.9%)

Memory

3.3MiB live, 79.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	39	35
2	113	35
3	469	35
4	1689	35
5	2839	35
6	4994	35
0	8397	35

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 6

Calls

Call 1

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

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

rewrite182.0ms (1.4%)

Memory

27.2MiB live, 223.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	8	14
1	32	14
2	216	14
3	1969	14
0	8780	14

Stop Event

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

Counts

2 → 7

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 3.5MiB live, 3.5MiB allocated
Compiler: Compiled 129 to 32 computations (75.2% saved)

prune5.0ms (0%)

Memory

-31.7MiB live, 6.9MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	10	3	13

Accuracy

100.0%

Counts

13 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))
✓	52.8%	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
✓	53.8%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 67 to 35 computations (47.8% saved)

regimes10.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated

Counts

4 → 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))

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

Calls

5 calls:

2.0ms	a
2.0ms	b
2.0ms	(-.f64 (.f64 a a) (.f64 b b))
2.0ms	(*.f64 a a)
2.0ms	(*.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 15 to 15 computations (0% saved)

regimes8.0ms (0.1%)

Memory

-17.0MiB live, 22.7MiB allocated

Counts

2 → 3

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
80.6%	2	`a`
79.2%	2	`b`
98.7%	3	`(-.f64 (.f64 a a) (.f64 b b))`
80.6%	2	`(*.f64 a a)`
79.2%	2	`(*.f64 b b)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes6.0ms (0%)

Memory

17.1MiB live, 17.1MiB 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	a
1.0ms	b
1.0ms	(-.f64 (.f64 a a) (.f64 b b))
1.0ms	(*.f64 a a)
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
53.8%	1	`b`
53.8%	1	`(*.f64 b b)`
53.8%	1	`a`
53.8%	1	`(*.f64 a a)`
53.8%	1	`(-.f64 (.f64 a a) (.f64 b b))`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-5.13044356323e-312	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

simplify24.0ms (0.2%)

Memory

-21.5MiB live, 61.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	73
1	32	73
2	38	73
3	41	73
4	42	73

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 -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) (if (<=.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal +inf.0 binary64)) #s(approx (- (* a a) (* b b)) (*.f64 a a)) #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))))

#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 -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (if (<=.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal +inf.0 binary64)) #s(approx (- ( a a) (* b b)) (.f64 a a)) #s(approx (- ( a a) (* b b)) (*.f64 (neg.f64 b) b))))
#s(approx (- (* a a) (* b b)) (*.f64 a a))

soundness876.0ms (6.7%)

Memory

-15.4MiB live, 351.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	132
1	281	132
2	837	132
3	3582	132
0	8444	132
0	17	38
1	39	38
2	113	38
3	469	38
4	1689	38
5	2839	38
6	4994	38
0	8397	38
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
1×	iter limit
1×	node limit

Compiler

Compiled 105 to 47 computations (55.2% saved)

preprocess37.0ms (0.3%)

Memory

24.3MiB live, 100.1MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 230 to 102 computations (55.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample9.1s (69.6%)

explain64.0ms (0.5%)

preprocess483.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify496.0ms (3.8%)

localize16.0ms (0.1%)

series4.0ms (0%)

simplify112.0ms (0.9%)

rewrite213.0ms (1.6%)

eval29.0ms (0.2%)

prune4.0ms (0%)

simplify382.0ms (2.9%)

localize27.0ms (0.2%)

series7.0ms (0.1%)

simplify122.0ms (0.9%)

rewrite167.0ms (1.3%)

eval141.0ms (1.1%)

prune19.0ms (0.1%)

simplify385.0ms (2.9%)

localize20.0ms (0.1%)

series2.0ms (0%)

simplify123.0ms (0.9%)

rewrite182.0ms (1.4%)

eval1.0ms (0%)

prune5.0ms (0%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

simplify24.0ms (0.2%)

soundness876.0ms (6.7%)

preprocess37.0ms (0.3%)

end0.0ms (0%)

Profiling