Metrics for Difference of squares

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.5s (32.6%)

Memory

21.0MiB live, 847.6MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 360.0ms

ival-mult: 219.0ms (60.9% of total)

ival-sub: 132.0ms (36.7% of total)

ival-true: 5.0ms (1.4% of total)

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

Bogosity

explain114.0ms (2.4%)

Memory

9.7MiB live, 88.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
20	-	-	`(-.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	20	0
↳	`(*.f64 a a)`	overflow	67
↳	`(*.f64 b b)`	overflow	68

Confusion

	Predicted +	Predicted -
+	20	0
-	0	236

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	20	0	0
-	0	0	236

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	236
1	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

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 (70.7% of total)

ival-sub: 2.0ms (20.2% of total)

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

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

preprocess711.0ms (15.2%)

Memory

-9.1MiB live, 313.1MiB 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
(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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.2%	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify461.0ms (9.8%)

Memory

14.3MiB live, 257.1MiB 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
(fma.f64 (neg.f64 b) b (*.f64 a a))
(*.f64 a a)
a
(*.f64 b b)
b

localize17.0ms (0.4%)

Memory

0.4MiB live, 38.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b b)
accuracy	0	(*.f64 a a)
accuracy	4.496073108302059	(-.f64 (.f64 a a) (.f64 b b))

Samples

12.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (74.4% of total)

ival-sub: 1.0ms (14.9% of total)

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

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

series3.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

3 → 48

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 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)
(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)

Calls

6 calls:

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

simplify151.0ms (3.2%)

Memory

-3.8MiB live, 188.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	39	219
2	113	219
3	469	219
4	1689	219
5	2839	219
6	4994	219
0	8397	219

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite185.0ms (4%)

Memory

-17.0MiB live, 380.5MiB 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))))))
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(-.f64 (/.f64 (pow.f64 a #s(literal 18 binary64)) (.f64 (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 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (.f64 b a) #s(literal 6 binary64))))) (/.f64 (pow.f64 b #s(literal 18 binary64)) (.f64 (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 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (.f64 b a) #s(literal 6 binary64))))))
(-.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.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 (pow.f64 b #s(literal 12 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.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 (/.f64 (pow.f64 a #s(literal 12 binary64)) (.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 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (/.f64 (pow.f64 b #s(literal 12 binary64)) (.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 6 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 b b (.f64 a a)))) (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 b b (.f64 a a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (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)) (pow.f64 b #s(literal 6 binary64))) (neg.f64 (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 8 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (.f64 a a))) (/.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (.f64 a a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (+.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)))) (fma.f64 b b (.f64 a a))) (/.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (+.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)))) (fma.f64 b b (.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)))) (+.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 (pow.f64 b #s(literal 12 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (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 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 (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 (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 (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 (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)))

eval41.0ms (0.9%)

Memory: 10.5MiB live, 86.3MiB allocated
Compiler: Compiled 8 823 to 759 computations (91.4% saved)

prune8.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	297	3	300
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	298	3	301

Accuracy

100.0%

Counts

301 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))
▶	55.8%	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
▶	53.6%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify310.0ms (6.6%)

Memory

-32.2MiB live, 260.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 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))
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	13	49
0	19	49
1	37	49
2	64	49
3	144	49
4	285	49
5	590	49
6	1490	49
7	2883	49
8	3991	49
9	4558	49
10	4797	49
11	4927	49
12	4949	49
13	4949	49
14	4949	49
0	8683	49

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)

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

localize48.0ms (1%)

Memory

3.0MiB live, 42.1MiB allocated

Localize:

Found 8 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	28.281272384916207	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
accuracy	0	(*.f64 a a)
accuracy	29.674714383152118	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Samples

41.0ms

256×

valid

Compiler

Compiled 91 to 25 computations (72.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-neg: 23.0ms (70.1% of total)

ival-mult: 6.0ms (18.3% of total)

ival-sub: 2.0ms (6.1% of total)

ival-add: 1.0ms (3% of total)

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

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

series7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

8 → 156

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)

Outputs
(* -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)
(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)
(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)
(+ (* -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)
(* -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))
(* -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)))

Calls

6 calls:

Time	Variable		Point	Expression
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))
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))
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))
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))
1.0ms	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))

simplify260.0ms (5.5%)

Memory

-19.4MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	651
1	281	651
2	837	651
3	3582	651
0	8444	651

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 147

Calls

Call 1

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

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

rewrite263.0ms (5.6%)

Memory

0.7MiB live, 284.4MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	45
0	19	45
1	70	45
2	511	45
3	6763	36
0	9290	36

Stop Event

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

Counts

8 → 733

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)

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 (.f64 (log.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.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)))
#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 (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 (+.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 (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))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 a b) a) #s(literal 2 binary64)))) (fma.f64 b b (.f64 (-.f64 b a) a)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b)) (+.f64 (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 a b) a) (fma.f64 (-.f64 a b) b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b)) (pow.f64 (fma.f64 (-.f64 a b) b (.f64 a a)) #s(literal 2 binary64))) (fma.f64 (-.f64 a b) b (.f64 a a)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b)) (+.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))))
(.f64 (/.f64 (.f64 (-.f64 a b) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 a b) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.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 (-.f64 b a) #s(literal 2 binary64)) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) b (*.f64 a a)))
(.f64 (/.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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(.f64 (/.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 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64)))) (-.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 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
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(/.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) (-.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 (/.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 (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 (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 (/.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 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 (.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 (.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 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 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 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 (*.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 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)

eval100.0ms (2.1%)

Memory: -7.0MiB live, 227.0MiB allocated
Compiler: Compiled 19 178 to 1 569 computations (91.8% saved)

prune17.0ms (0.4%)

Memory

25.0MiB live, 64.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	880	0	880
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	880	3	883

Accuracy

100.0%

Counts

883 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))
✓	55.8%	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
✓	53.6%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 67 to 35 computations (47.8% saved)

regimes11.0ms (0.2%)

Memory

-12.2MiB live, 27.3MiB 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:

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

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 (0.2%)

Memory

19.6MiB live, 19.6MiB 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:

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

Results

Accuracy	Segments	Branch
80.8%	2	`a`
79.0%	2	`b`
95.6%	2	`(-.f64 (.f64 a a) (.f64 b b))`
80.8%	2	`(*.f64 a a)`
79.0%	2	`(*.f64 b b)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes7.0ms (0.2%)

Memory

-20.8MiB live, 18.7MiB 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:

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

Results

Accuracy	Segments	Branch
53.6%	1	`b`
53.6%	1	`(*.f64 b b)`
53.6%	1	`a`
53.6%	1	`(*.f64 a a)`
53.6%	1	`(-.f64 (.f64 a a) (.f64 b b))`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.51306e-319	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

simplify24.0ms (0.5%)

Memory

21.4MiB live, 65.4MiB allocated

Algorithm

1×	egg-herbie

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 -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 b a) (-.f64 a b))

(if (<=.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness377.0ms (8.1%)

Memory

-26.8MiB live, 296.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	39	219
2	113	219
3	469	219
4	1689	219
5	2839	219
6	4994	219
0	8397	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 75 to 36 computations (52% saved)

preprocess38.0ms (0.8%)

Memory

6.3MiB live, 123.8MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 186 to 96 computations (48.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (32.6%)

explain114.0ms (2.4%)

preprocess711.0ms (15.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify461.0ms (9.8%)

localize17.0ms (0.4%)

series3.0ms (0.1%)

simplify151.0ms (3.2%)

rewrite185.0ms (4%)

eval41.0ms (0.9%)

prune8.0ms (0.2%)

simplify310.0ms (6.6%)

localize48.0ms (1%)

series7.0ms (0.1%)

simplify260.0ms (5.5%)

rewrite263.0ms (5.6%)

eval100.0ms (2.1%)

prune17.0ms (0.4%)

regimes11.0ms (0.2%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

bsearch1.0ms (0%)

simplify24.0ms (0.5%)

soundness377.0ms (8.1%)

preprocess38.0ms (0.8%)

end0.0ms (0%)

Profiling