Metrics for fabs fraction 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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 8 to 8 computations (0% saved)

sample749.0ms (25.4%)

Memory

-11.7MiB live, 490.1MiB allocated

Samples

502.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-sub: 70.0ms (33% of total)

ival-div: 63.0ms (29.7% of total)

ival-fabs: 62.0ms (29.3% of total)

ival-true: 7.0ms (3.3% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 4.0ms (1.9% of total)

Bogosity

explain63.0ms (2.1%)

Memory

23.8MiB live, 55.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`a`
-	-	`#s(literal 2 binary64)`
-	-	`(fabs.f64 (-.f64 a b))`
-	-	`(-.f64 a b)`
-	-	`b`
-	-	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

37.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-sub: 3.0ms (29.9% of total)

ival-div: 3.0ms (29.9% of total)

ival-fabs: 3.0ms (29.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.6%)

Memory

-24.7MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	38	34
2	55	34
3	95	34
4	176	34
5	242	34
6	250	34
7	253	34
8	255	34
0	6	6
0	9	6
1	15	6
2	22	6
3	36	6
4	63	6
5	85	6
6	87	6
7	91	6
8	94	6
0	94	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Outputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 b a)) #s(literal 2 binary64))

Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify4.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 a b)
cost-diff	0	(fabs.f64 (-.f64 a b))
cost-diff	0	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	22	16
3	36	16
4	63	16
5	85	16
6	87	16
7	91	16
8	94	16
0	94	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 2 binary64)

Outputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 b a)) #s(literal 2 binary64))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 b a))
(-.f64 a b)
a
b
#s(literal 2 binary64)

localize15.0ms (0.5%)

Memory

6.6MiB live, 6.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
accuracy	0.0	(-.f64 a b)
accuracy	0.0	(fabs.f64 (-.f64 a b))

Samples

10.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 2.0ms (41.8% of total)

ival-sub: 1.0ms (20.9% of total)

ival-fabs: 1.0ms (20.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

3 → 14

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)

Outputs
(* 1/2 (fabs (- a b)))
(fabs (- a b))
(* -1 b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(fabs (neg (+ b (* -1 a))))
(* -1 (* a (- (/ b a) 1)))
(+ a (* -1 b))
(* b (- (/ a b) 1))
(* 1/2 (fabs (+ a (* -1 b))))
(fabs (+ a (* -1 b)))
(* -1 (* b (+ 1 (* -1 (/ a b)))))

Calls

6 calls:

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

simplify129.0ms (4.4%)

Memory

-14.5MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	51
1	91	51
2	257	51
3	723	51
4	1984	51
5	3422	51
6	5658	51
7	7889	51
0	8003	51

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

Inputs
(* 1/2 (fabs (- a b)))
(fabs (- a b))
(* -1 b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(fabs (neg (+ b (* -1 a))))
(* -1 (* a (- (/ b a) 1)))
(+ a (* -1 b))
(* b (- (/ a b) 1))
(* 1/2 (fabs (+ a (* -1 b))))
(fabs (+ a (* -1 b)))
(* -1 (* b (+ 1 (* -1 (/ a b)))))

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

rewrite115.0ms (3.9%)

Memory

29.6MiB live, 87.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	12
1	34	12
2	191	11
3	2041	11
0	8928	11

Stop Event

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

Counts

3 → 607

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)

Outputs
(*.f64 (sqrt.f64 (-.f64 b a)) (/.f64 (sqrt.f64 (-.f64 b a)) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (-.f64 b a)) (/.f64 (sqrt.f64 (-.f64 b a)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a))) (neg.f64 (.f64 (fabs.f64 (+.f64 b a)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a))) (neg.f64 (.f64 (fabs.f64 (+.f64 b a)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal -2 binary64))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64))))
(/.f64 (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a)) (.f64 (fabs.f64 (+.f64 b a)) #s(literal -2 binary64)))
(/.f64 (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a)) (.f64 (fabs.f64 (+.f64 b a)) #s(literal 2 binary64)))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal -2 binary64)))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)))
(/.f64 (-.f64 b a) #s(literal -2 binary64))
(/.f64 (-.f64 b a) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal -2 binary64)) (/.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal -2 binary64)) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal -2 binary64)))
(-.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (/.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)))
(-.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal -2 binary64)) (/.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal -2 binary64)))
(+.f64 (/.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (/.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 b a)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 b a)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 (+.f64 b a) b) (.f64 a a))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 b a))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (-.f64 b a)))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (.f64 a a) (*.f64 (+.f64 b a) b))))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 b a))) (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 b a)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (.f64 a a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (-.f64 b a) (+.f64 b a))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)) (-.f64 b a))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 a a) (.f64 (+.f64 b a) b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
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(-.f64 (/.f64 (.f64 (.f64 a a) (+.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 b a) (.f64 b b)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 b a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 9 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (+.f64 b a)) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (+.f64 b a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 b a)) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 b a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (/.f64 (pow.f64 b #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (/.f64 (pow.f64 b #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (.f64 b (/.f64 b (+.f64 b a))) (.f64 a (/.f64 a (+.f64 b a))))
(-.f64 (.f64 a (/.f64 a (+.f64 b a))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) b) (+.f64 b a)))
(-.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 b a)
(-.f64 a b)
(fabs.f64 (-.f64 b a))
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 b a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 b a))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 b a)))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 b a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) (.f64 b b)) (.f64 (fma.f64 b b (*.f64 a a)) (+.f64 b a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))))
(+.f64 (cosh.f64 (log.f64 (-.f64 b a))) (sinh.f64 (log.f64 (-.f64 b a))))
(+.f64 (.f64 b (/.f64 b (+.f64 b a))) (/.f64 (.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)) (+.f64 b a)))
(+.f64 (.f64 b (/.f64 b (+.f64 b a))) (.f64 a (/.f64 a (+.f64 b a))))
(+.f64 (.f64 a (/.f64 a (+.f64 b a))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)) (+.f64 b a)))
(+.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 a #s(literal 3/2 binary64))) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (.f64 a a)) a) (fma.f64 (+.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 a #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (.f64 a a)) a) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (fma.f64 (+.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))

eval42.0ms (1.4%)

Memory: -35.1MiB live, 42.8MiB allocated
Compiler: Compiled 9 352 to 1 048 computations (88.8% saved)

prune4.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	317	1	318
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	318	1	319

Accuracy

100.0%

Counts

319 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify5.0ms (0.2%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 a b)
cost-diff	0	(fabs.f64 (-.f64 a b))
cost-diff	0	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
0	14	29
1	21	29
2	28	29
3	42	29
4	69	29
5	91	29
6	97	29
7	106	29
8	112	29
0	112	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 1/2 binary64)

Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 b a))
(-.f64 a b)
a
b
#s(literal 1/2 binary64)

localize19.0ms (0.6%)

Memory

-10.8MiB live, 20.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 a b)
accuracy	0.0	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
accuracy	0.0	(fabs.f64 (-.f64 a b))
accuracy	0.0	#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions

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

ival-sub: 2.0ms (29.2% of total)

ival-div: 2.0ms (29.2% of total)

ival-fabs: 1.0ms (14.6% of total)

ival-mult: 1.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

4 → 14

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)

Outputs
(* 1/2 (fabs (- a b)))
(fabs (- a b))
(* -1 b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(fabs (neg (+ b (* -1 a))))
(* -1 (* a (- (/ b a) 1)))
(+ a (* -1 b))
(* b (- (/ a b) 1))
(* 1/2 (fabs (+ a (* -1 b))))
(fabs (+ a (* -1 b)))
(* -1 (* b (+ 1 (* -1 (/ a b)))))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	((/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b))
0.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b))
0.0ms	b	@	inf	((/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b))
0.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b))
0.0ms	a	@	0	((/ (fabs (- a b)) 2) (* (fabs (- a b)) 1/2) (fabs (- a b)) (- a b))

simplify100.0ms (3.4%)

Memory

11.5MiB live, 73.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	51
1	91	51
2	257	51
3	723	51
4	1984	51
5	3422	51
6	5662	51
7	7892	51
0	8006	51

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

Inputs
(* 1/2 (fabs (- a b)))
(fabs (- a b))
(* -1 b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(fabs (neg (+ b (* -1 a))))
(* -1 (* a (- (/ b a) 1)))
(+ a (* -1 b))
(* b (- (/ a b) 1))
(* 1/2 (fabs (+ a (* -1 b))))
(fabs (+ a (* -1 b)))
(* -1 (* b (+ 1 (* -1 (/ a b)))))

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

rewrite116.0ms (3.9%)

Memory

-16.5MiB live, 110.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	26
0	14	25
1	40	25
2	196	22
3	2063	22
0	8959	22

Stop Event

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

Counts

4 → 599

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)

Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 b a))) (sqrt.f64 (-.f64 b a)))
(.f64 (sqrt.f64 (-.f64 b a)) (.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 b a))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a)) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (+.f64 b a))))
(/.f64 (neg.f64 (.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a)))) (neg.f64 (fabs.f64 (+.f64 b a))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(/.f64 (.f64 (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a)) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 b a)))
(/.f64 (.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fabs.f64 (+.f64 b a)) (-.f64 b a))) (fabs.f64 (+.f64 b a)))
(/.f64 (.f64 #s(literal 1/2 binary64) (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 b a)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 b a)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 (+.f64 b a) b) (.f64 a a))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 b a))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (-.f64 b a)))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (.f64 a a) (*.f64 (+.f64 b a) b))))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 b a))) (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 b a)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (.f64 a a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (-.f64 b a) (+.f64 b a))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)) (-.f64 b a))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 a a) (.f64 (+.f64 b a) b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 a a) (.f64 (+.f64 b a) b)))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) (neg.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) (sqrt.f64 (-.f64 b a)))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (fabs.f64 (+.f64 b a)) (pow.f64 (/.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1 binary64)))
(.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (fabs.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (-.f64 b a)) (neg.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (-.f64 b a)))
(*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (+.f64 b a)))
(.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 b a) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 b a) #s(literal 1 binary64))
(/.f64 (+.f64 (neg.f64 (.f64 a a)) (.f64 (neg.f64 b) b)) (+.f64 b a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (pow.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)))) (-.f64 b a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)))) (-.f64 b a))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (+.f64 b a) #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (+.f64 b a) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)) (.f64 (.f64 a (/.f64 a (+.f64 b a))) (*.f64 b (/.f64 b (+.f64 b a))))))))
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(fma.f64 a (/.f64 (.f64 a a) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(fma.f64 a (/.f64 (.f64 a a) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a))))))
(fma.f64 a (/.f64 (.f64 a a) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a))))
(fma.f64 a (/.f64 (.f64 a a) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(fma.f64 a (/.f64 (.f64 a a) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(fma.f64 a (/.f64 a (+.f64 b a)) (/.f64 (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)) (+.f64 b a)))
(fma.f64 a (/.f64 a (+.f64 b a)) (*.f64 b (/.f64 b (+.f64 b a))))
(sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (.f64 (+.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))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (pow.f64 b #s(literal 9 binary64)) (.f64 (+.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))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #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)))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (/.f64 (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)))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(-.f64 (/.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (-.f64 b a)) (/.f64 (pow.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)) (-.f64 b a)))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (-.f64 b a)) (/.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (-.f64 b a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (+.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)) (.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (+.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 b (/.f64 b (+.f64 b a))) #s(literal 2 binary64)) (.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))))))
(-.f64 (/.f64 (.f64 (.f64 a a) (+.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 b a) (.f64 b b)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 b a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 9 binary64)) (.f64 (+.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))) (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 9 binary64)) (.f64 (+.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))) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (+.f64 b a)) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (+.f64 b a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 b a)) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 b a)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #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)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (/.f64 (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)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #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)))) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (/.f64 (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)))) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (.f64 b (/.f64 b (+.f64 b a))) (.f64 a (/.f64 a (+.f64 b a))))
(-.f64 (.f64 a (/.f64 a (+.f64 b a))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) b) (+.f64 b a)))
(-.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 b a)
(-.f64 a b)
(fabs.f64 (-.f64 b a))
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 b a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 b a))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 b a)))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 b a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) (.f64 b b)) (.f64 (fma.f64 b b (*.f64 a a)) (+.f64 b a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a))))
(+.f64 (cosh.f64 (log.f64 (-.f64 b a))) (sinh.f64 (log.f64 (-.f64 b a))))
(+.f64 (.f64 b (/.f64 b (+.f64 b a))) (/.f64 (.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)) (+.f64 b a)))
(+.f64 (.f64 b (/.f64 b (+.f64 b a))) (.f64 a (/.f64 a (+.f64 b a))))
(+.f64 (.f64 a (/.f64 a (+.f64 b a))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)) (+.f64 b a)))
(+.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 a #s(literal 3/2 binary64))) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (.f64 a a)) a) (fma.f64 (+.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 a #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (.f64 a a)) a) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (*.f64 a a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (neg.f64 (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (.f64 (.f64 (neg.f64 b) b) b) (fma.f64 (+.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))

eval38.0ms (1.3%)

Memory: 15.5MiB live, 50.2MiB allocated
Compiler: Compiled 11 366 to 1 332 computations (88.3% saved)

prune5.0ms (0.2%)

Memory

-17.5MiB live, 14.1MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	309	1	310
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	310	1	311

Accuracy

100.0%

Counts

311 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify5.0ms (0.2%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 b a)
cost-diff	0	(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	12	23
1	18	23
2	25	23
3	39	23
4	66	23
5	90	23
6	96	23
7	105	23
8	111	23
0	111	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(-.f64 b a)
b
a
#s(literal 1/2 binary64)

Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 b a))
(-.f64 b a)
b
a
#s(literal 1/2 binary64)

localize19.0ms (0.6%)

Memory

20.9MiB live, 20.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 b a)
accuracy	0.0	(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 11 computations (42.1% saved)

Precisions

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

ival-sub: 3.0ms (39.1% of total)

ival-div: 2.0ms (26.1% of total)

ival-fabs: 1.0ms (13% of total)

ival-mult: 1.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

3 → 18

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(-.f64 b a)

Outputs
(* 1/2 (fabs (- a b)))
(* 1/2 b)
(+ (* -1/2 a) (* 1/2 b))
b
(+ b (* -1 a))
(* -1/2 a)
(* a (- (* 1/2 (/ b a)) 1/2))
(* -1 a)
(* a (- (/ b a) 1))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* -1 (* a (+ 1/2 (* -1/2 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(- b a)
(* b (+ 1/2 (* -1/2 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* -1 (* b (- (* 1/2 (/ a b)) 1/2)))
(* -1 (* b (- (/ a b) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (- b a))
0.0ms	a	@	inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (- b a))
0.0ms	b	@	inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (- b a))
0.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (- b a))
0.0ms	a	@	0	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (- b a))

simplify109.0ms (3.7%)

Memory

-29.4MiB live, 97.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	86
1	149	70
2	411	70
3	1252	70
4	3163	70
5	4545	70
6	6436	70
0	8082	70

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 17

Calls

Call 1

Inputs
(* 1/2 (fabs (- a b)))
(* 1/2 b)
(+ (* -1/2 a) (* 1/2 b))
b
(+ b (* -1 a))
(* -1/2 a)
(* a (- (* 1/2 (/ b a)) 1/2))
(* -1 a)
(* a (- (/ b a) 1))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* -1 (* a (+ 1/2 (* -1/2 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(- b a)
(* b (+ 1/2 (* -1/2 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* -1 (* b (- (* 1/2 (/ a b)) 1/2)))
(* -1 (* b (- (/ a b) 1)))

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

rewrite147.0ms (5%)

Memory

10.1MiB live, 108.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	20
0	12	20
1	45	20
2	282	19
3	3242	19
0	9366	19

Stop Event

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

Counts

3 → 178

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(-.f64 b a)

Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b a)) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (.f64 a a)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b a)) (-.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 b (-.f64 b a)) (*.f64 a a)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 b a) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 b a) a) (-.f64 (.f64 (+.f64 b a) a) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 b a) b (.f64 a a))))
(*.f64 #s(literal 1/2 binary64) (-.f64 b a))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b a)) (-.f64 b a))) (+.f64 b a))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b a)) (-.f64 b a)) (+.f64 b a))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 b a)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 b a)))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 b a) a) (-.f64 (.f64 (+.f64 b a) a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 b b) (.f64 a (-.f64 b a)))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 b a))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a)))) (sqrt.f64 (-.f64 b a)))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (.f64 b (-.f64 b a)) (*.f64 a a))))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 b a))) (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 b a)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (.f64 b (-.f64 b a)) (*.f64 a a)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (/.f64 (-.f64 b a) (+.f64 b a))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a)))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (.f64 a a))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)) (-.f64 b a))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 b a) a) (-.f64 (.f64 (+.f64 b a) a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) (neg.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) (sqrt.f64 (-.f64 b a)))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (fabs.f64 (+.f64 b a)) (pow.f64 (/.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1 binary64)))
(.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (fabs.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a)))))
(.f64 (fabs.f64 (fma.f64 (+.f64 b a) b (.f64 a a))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (-.f64 b a)) (neg.f64 (sqrt.f64 (-.f64 b a))))
(*.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (-.f64 b a)))
(*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (+.f64 b a)))
(.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (/.f64 (-.f64 b a) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 b a))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 b a) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (-.f64 b a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 b a) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 b) b) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 a a))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 b b) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 a a))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 b) b) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 (neg.f64 a) a))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 b b) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 (neg.f64 a) a))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 a) a) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 (neg.f64 b) b))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 a) a) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 b b))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 a a) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 (neg.f64 b) b))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 a a) (+.f64 b a) (.f64 (+.f64 b a) (*.f64 b b))) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a)) (+.f64 b a))
(/.f64 (-.f64 (.f64 (neg.f64 a) a) (.f64 (neg.f64 b) b)) (+.f64 b a))
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(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 b a) b (*.f64 a a)))
(neg.f64 (-.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 (-.f64 b a) (.f64 a a)) (*.f64 b (/.f64 b (+.f64 b a))))
(fma.f64 (/.f64 (.f64 a a) (.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a) (*.f64 b (/.f64 b (+.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 b (-.f64 b a) (.f64 a a)) (*.f64 a (/.f64 a (+.f64 b a))))
(fma.f64 (/.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a) (*.f64 a (/.f64 a (+.f64 b a))))
(fma.f64 (neg.f64 a) (/.f64 (neg.f64 a) (+.f64 b a)) (*.f64 b (/.f64 b (+.f64 b a))))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (+.f64 b a)) (*.f64 a (/.f64 a (+.f64 b a))))
(fma.f64 b (/.f64 b (+.f64 b a)) (*.f64 a (/.f64 a (+.f64 b a))))
(fma.f64 a (/.f64 a (+.f64 b a)) (*.f64 b (/.f64 b (+.f64 b a))))
(sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(-.f64 (.f64 b (/.f64 b (+.f64 b a))) (.f64 a (/.f64 a (+.f64 b a))))
(-.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 b a) b (.f64 a a))))
(-.f64 b a)
(-.f64 a b)
(fabs.f64 (-.f64 b a))
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 b a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 b a))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 b a)))
(+.f64 (cosh.f64 (log.f64 (-.f64 b a))) (sinh.f64 (log.f64 (-.f64 b a))))
(+.f64 (.f64 b (/.f64 b (+.f64 b a))) (.f64 a (/.f64 a (+.f64 b a))))
(+.f64 (.f64 a (/.f64 a (+.f64 b a))) (.f64 b (/.f64 b (+.f64 b a))))

eval20.0ms (0.7%)

Memory: -4.5MiB live, 28.2MiB allocated
Compiler: Compiled 5 932 to 862 computations (85.5% saved)

prune3.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	182	2	184
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	182	3	185

Accuracy

100.0%

Counts

185 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

▶

55.5%

#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))

▶

46.0%

#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

Compiler

Compiled 44 to 36 computations (18.2% saved)

simplify5.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 1/2 binary64) b)
cost-diff	0	#s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))
cost-diff	0	#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) a)
cost-diff	0	#s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))
cost-diff	0	#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
0	18	60
1	26	60
2	33	60
3	47	60
4	74	60
5	98	60
6	104	60
7	112	60
8	118	60
0	118	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b

Outputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b

localize25.0ms (0.9%)

Memory

-3.3MiB live, 28.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) b)
accuracy	0.0	#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))
accuracy	28.50322669424601	#s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) a)
accuracy	0.0	#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
accuracy	34.55362554953707	#s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))

Samples

19.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

ival-sub: 4.0ms (34.6% of total)

ival-mult: 4.0ms (34.6% of total)

ival-div: 2.0ms (17.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

6 → 10

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) a)
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)

Outputs
(* 1/2 (fabs (- a b)))
(* 1/2 b)
(+ (* -1/2 a) (* 1/2 b))
(* -1/2 a)
(* a (- (* 1/2 (/ b a)) 1/2))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* -1 (* a (+ 1/2 (* -1/2 (/ b a)))))
(* b (+ 1/2 (* -1/2 (/ a b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* -1 (* b (- (* 1/2 (/ a b)) 1/2)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (* -1/2 a) (/ (fabs (- a b)) 2) (* (- b a) 1/2) (* 1/2 b))
1.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (* -1/2 a) (/ (fabs (- a b)) 2) (* (- b a) 1/2) (* 1/2 b))
0.0ms	a	@	0	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (* -1/2 a) (/ (fabs (- a b)) 2) (* (- b a) 1/2) (* 1/2 b))
0.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (* -1/2 a) (/ (fabs (- a b)) 2) (* (- b a) 1/2) (* 1/2 b))
0.0ms	b	@	inf	((/ (fabs (- a b)) 2) (* (- b a) 1/2) (* -1/2 a) (/ (fabs (- a b)) 2) (* (- b a) 1/2) (* 1/2 b))

simplify106.0ms (3.6%)

Memory

7.4MiB live, 118.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	59
1	103	49
2	261	49
3	862	49
4	2380	49
5	3873	49
6	6676	49
0	8043	49

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

Inputs
(* 1/2 (fabs (- a b)))
(* 1/2 b)
(+ (* -1/2 a) (* 1/2 b))
(* -1/2 a)
(* a (- (* 1/2 (/ b a)) 1/2))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* -1 (* a (+ 1/2 (* -1/2 (/ b a)))))
(* b (+ 1/2 (* -1/2 (/ a b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* -1 (* b (- (* 1/2 (/ a b)) 1/2)))

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

rewrite155.0ms (5.3%)

Memory

-0.7MiB live, 147.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	56
0	18	56
1	53	56
2	290	54
3	3245	54
0	9374	54

Stop Event

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

Counts

6 → 8

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) a)
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)

Outputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) a)
(*.f64 a #s(literal -1/2 binary64))
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))

eval1.0ms (0%)

Memory: 2.1MiB live, 2.1MiB allocated
Compiler: Compiled 179 to 36 computations (79.9% saved)

prune3.0ms (0.1%)

Memory

4.4MiB live, 4.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	11	3	14

Accuracy

100.0%

Counts

14 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

✓

55.5%

#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))

✓

46.0%

#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

Compiler

Compiled 107 to 62 computations (42.1% saved)

regimes10.0ms (0.4%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

Calls

5 calls:

2.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
2.0ms	(fabs.f64 (-.f64 a b))
2.0ms	(-.f64 a b)
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 a b)`
100.0%	1	`(fabs.f64 (-.f64 a b))`
100.0%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
100.0%	1	`a`
100.0%	1	`b`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes20.0ms (0.7%)

Memory

-16.6MiB live, 23.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))

Outputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b)))

Calls

5 calls:

15.0ms	a
1.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
1.0ms	(fabs.f64 (-.f64 a b))
1.0ms	(-.f64 a b)
1.0ms	b

Results

Accuracy	Segments	Branch
55.5%	1	`(-.f64 a b)`
55.5%	1	`(fabs.f64 (-.f64 a b))`
55.5%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
80.2%	2	`a`
85.0%	2	`b`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

Outputs
#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

Calls

5 calls:

1.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
1.0ms	b
1.0ms	(fabs.f64 (-.f64 a b))
1.0ms	(-.f64 a b)
1.0ms	a

Results

Accuracy	Segments	Branch
46.0%	1	`(-.f64 a b)`
46.0%	1	`(fabs.f64 (-.f64 a b))`
46.0%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
46.0%	1	`a`
46.0%	1	`b`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch13.0ms (0.4%)

Memory

-14.7MiB live, 16.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.3449636594967959e-171	2.1669407902665813e-163

Samples

6.0ms

144×

valid

Compiler

Compiled 297 to 263 computations (11.4% saved)

Precisions

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

ival-sub: 2.0ms (57.4% of total)

ival-div: 1.0ms (28.7% of total)

ival-fabs: 1.0ms (28.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify38.0ms (1.3%)

Memory

-2.0MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	64
1	30	64
2	41	64
3	59	64
4	93	64
5	139	64
6	301	64
7	1939	64
8	3620	64

Stop Event

1×	node limit

Calls

Call 1

Inputs

#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

(if (<=.f64 b #s(literal 6807798980195379/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) #s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))) #s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))))

#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

Outputs

#s(approx (/ (fabs (- a b)) 2) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))

(if (<=.f64 b #s(literal 6807798980195379/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) #s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a))) #s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal 1/2 binary64) b))))

#s(approx (/ (fabs (- a b)) 2) #s(approx (* (- b a) 1/2) (*.f64 #s(literal -1/2 binary64) a)))

soundness797.0ms (27%)

Memory

17.8MiB live, 229.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	86
1	149	70
2	411	70
3	1252	70
4	3163	70
5	4545	70
6	6436	70
0	8082	70
0	11	26
0	14	25
1	40	25
2	196	22
3	2063	22
0	8959	22
0	31	51
1	91	51
2	257	51
3	723	51
4	1984	51
5	3422	51
6	5658	51
7	7889	51
0	8003	51

Stop Event

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

Compiler

Compiled 140 to 97 computations (30.7% saved)

preprocess32.0ms (1.1%)

Memory: 8.9MiB live, 38.6MiB allocated
Compiler: Compiled 164 to 78 computations (52.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	34
1	38	34
2	55	34
3	95	34
4	176	34
5	242	34
6	250	34
7	253	34
8	255	34
0	6	6
0	9	6
1	15	6
2	22	6
3	36	6
4	63	6
5	85	6
6	87	6
7	91	6
8	94	6
0	94	6

Iter	Nodes	Cost
0	16	34
1	38	34
2	55	34
3	95	34
4	176	34
5	242	34
6	250	34
7	253	34
8	255	34
0	6	6
0	9	6
1	15	6
2	22	6
3	36	6
4	63	6
5	85	6
6	87	6
7	91	6
8	94	6
0	94	6

start0.0ms (0%)

analyze0.0ms (0%)

sample749.0ms (25.4%)

explain63.0ms (2.1%)

preprocess17.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize15.0ms (0.5%)

series3.0ms (0.1%)

simplify129.0ms (4.4%)

rewrite115.0ms (3.9%)

eval42.0ms (1.4%)

prune4.0ms (0.1%)

simplify5.0ms (0.2%)

localize19.0ms (0.6%)

series2.0ms (0.1%)

simplify100.0ms (3.4%)

rewrite116.0ms (3.9%)

eval38.0ms (1.3%)

prune5.0ms (0.2%)

simplify5.0ms (0.2%)

localize19.0ms (0.6%)

series3.0ms (0.1%)

simplify109.0ms (3.7%)

rewrite147.0ms (5%)

eval20.0ms (0.7%)

prune3.0ms (0.1%)

simplify5.0ms (0.2%)

localize25.0ms (0.9%)

series3.0ms (0.1%)

simplify106.0ms (3.6%)

rewrite155.0ms (5.3%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes10.0ms (0.4%)

regimes20.0ms (0.7%)

regimes5.0ms (0.2%)

bsearch13.0ms (0.4%)

simplify38.0ms (1.3%)

soundness797.0ms (27%)

preprocess32.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	34
1	38	34
2	55	34
3	95	34
4	176	34
5	242	34
6	250	34
7	253	34
8	255	34
0	6	6
0	9	6
1	15	6
2	22	6
3	36	6
4	63	6
5	85	6
6	87	6
7	91	6
8	94	6
0	94	6